find the inverse of f(x)=x^2-3x+2

Find The Inverse Of F(x)=x^2-3x+2

Answers

Answer 1

Answer:

Step-by-step explanation:

y = [tex]\frac{3}{2}[/tex] + [tex]\sqrt{x+\frac{1}{4} }[/tex] and y = [tex]\frac{3}{2}[/tex] - [tex]\sqrt{x+\frac{1}{4} }[/tex]

Find The Inverse Of F(x)=x^2-3x+2
Answer 2

Answer:

Step-by-step explanation:

f(x) = x² - 3x + 2

y = x² - 3x + 2

solve for x as a function of y

y - 2 = x² - 3x

complete the square by adding the square of half the x¹ coefficient to each side of the equation.

y - 2 + (-1.5)² = x² - 3x + (-1.5)²

      y + 0.25 = (x - 1.5)²

    [tex]\sqrt{y + 0.25}[/tex] = x - 1.5

                 x = 1.5 ± [tex]\sqrt{y + 0.25}[/tex]

now swap the x and y variables and revert to function notation

f(x) = 1.5 ± [tex]\sqrt{x + 0.25}[/tex]     domain is x ≥ -0.25

each input will have two outputs except where f(-0.25) = 1.5


Related Questions

half of the sum of six and three then divided by 7

Answers

Answer:

45/70

Step-by-step explanation:

easy though thats it

half of 6 is 3, half of 3 is 1.5 1.5 divided by 7 is 0.2142 and 3 divided by 7 is 0.4285

45% of the members in a council are female
there are 72 female council
(a) the total number of council members
(b) the number of male council members

Answers

Answer:

45% are female -> 72

100% are total -> x

x= 72• 100/45

x= 7200/45

x= 160

total= male+female

160= male + 72

male= 88

9 + 6 + 5+ 15
Is that

Answers

9+6= 15
15+5=20
20+15=35
35 is the answer.


8 x 10*-3
is how many times as great as 4 x 10*-6?
2 x10*3
2 x 10 *9

2 x 10 *-9

2 x 10-*_•-3

Answers

Answer:

[tex]\huge\boxed{2\times10^3}[/tex]

Step-by-step explanation:

[tex](8\times10^{-3})\div(4\times10^{-6})=\dfrac{8\times10^{-3}}{4\times10^{-6}}=\dfrac{8}{4}\times10^{-3-(-6)}=2\times10^{-3+6}=2\times10^3[/tex]

Used:

[tex]\dfrac{a^n}{a^m}=a^{n-m}\ \text{for}\ a\neq0[/tex]

Help ASAP please. I really need the answer as soon as possible

Answers

Answer:

y intercept is 6 and the rate of change is Y=3x+6

Step-by-step explanation:

Answer:

y intercept = 6

rate of change = -4

Step-by-step explanation:

the line hits the y axis at 6 so that is the y intercept

The line falls 4 and goes over 1

I hope this helps!!

hi so my teacher gave me this and i am not sure if i did it right, this is what i put for the first Question
degree = 3
leading coefficient = 1
and the it is the arrows are going up/down so its a odd degree
and i put that the answer is d i did the rest like this please tell me where i went wrong/if i did

Answers

Answer:

First, let's look at some polynomials of even degree (specifically, quadratics in the first row of pictures, and quartics in the second row) with positive and negative leading coefficients:❤

can anyone please tell me how to do this​

Answers

Hello there, this problem is just basic addition, here is what it would look like

[tex]52.31+25.90[/tex]

Solve it and we get 78.21

Amount earned on Saturday = $ 52.31

Amount earned on Sunday = $ 25.90

Total amount earned

= $ 52.31 + $ 25.90

= $ 78.21

Therefore, Tara earned $ 78.21 in total. Hope this helps.

Have a nice day.

what is the equation of a line whose slope is -2 and whose y-intercept is 4?

Answers

Answer:

y=-2x+4

Step-by-step explanation:

if y is 4..it means x intercept is 0

gradient is -2

and we know gradient is the change in y /change in X

so: we let the second intercepts to be (x,y)

so y-4/x-0=-2

multiply by x-0 both sides then collect like terms together

it will be y= -2x+4

If y’all show y’all work and do all the questions I add extra extra points

Answers

Answer:

For 5.) I believe the slope is 3/5, for 6.) the slope is -2/8 (-1/4 when simplified) and the y-int is 2, for 7.) the slope is 6/2 (3/1 when simplified), for 8.) the slope is -2/4 (-1/2 when simplified) + the y-int is -3, and for 9.) the slope is 1/6.

Step-by-step explanation:

5.) the slope is 3/5 because it rises 3 and runs 5 (from the two plotted points)

6.) the slope is -2/8 (-1/4) because from the two points, it runs 8 and drops 2 (so -2) + when simplified its -1/4 because -2/8 divided by 2 on top and bottom would get you -1/4. And y-int is 2 because on the y-axis, the line is going through 2.

7.) the slope is 6/2 (3/1) because it rises 6 points and runs 2 (from the two points) and when simplified (6/2 divided by 2 on both top and bottom) would get you 3/1.

8.) the slope is -2/4 (or -1/2) because it runs 4 and drops 2 (which would be -2), and when simplified it gets you -1/2.

9.) the slope is 1/6 because between the two points, you rise one and run 6. Which gets you 1/6

Not sure if these are all correct, but I hope this helps :)!

?????????????????????​

Answers

Answer: make me  brainlist

Step-by-step explanation: 13 is A

the one next to it is D so it is D


If you borrow $2,000 at 5 percent simple interest, how much will you owe
after one year?
O A. You will owe the principal of $2,000 only.
O B. You will owe the principal of $2,000 minus 5 percent of the
principal
O c. You will owe the principal of $2,000 plus 5 percent of the principal.

Answers

Answer:

it is c I think that it is c good luck

what are prime factors of 1000?

Answers

Answer:

1,2,4,5,8,10,20,25,40,50,10,125,200,250,500,1000

Step-by-step explanation:

prime factorization is

1000=2*2*2*5*5*5

(b) Find the sum of first twenty terms of the following arithmetic progressions A.P
(i) -4,-1, 2,...
(ii) 2, 3, 5,...
(iii) -2, -5, -8, -11,...

Answers

Answer:

-4*20+3*190=490

2*20+190=230

-2*20-3*190=-610


On a game show, a contestant wins $200 by answering questions correctly but loses $300 for
each question answered incorrectly. How much money would a contestant win if she
answered 14 questions correct and I question incorrect?

Answers

Answer:

$2500

Step-by-step explanation:

$200×14=$2800

$2800-$300=$2500

square pyramid has _______ spaces​

Answers

Answer:

A square pyramid has five faces: four triangle faces and one square face.

Step-by-step explanation:

Squareee pyramidd has 5 faces

Just list all of the possible answers

Answers

Answer:

what grade are you??........

Answer:

8th idea I'm sorry. uhhhhhhhh just wait not

1. Which calculation best matches the expression 3y + 2?
A. 3 times 2, plus y
B. 3 times y, plus 2
C. 3 times the sum ofy and 2
D. 3 times the difference of y and 2

Answers

the answer is "B" (3 times y, plus 2). we know this bc 3y just means 3(y), and then you add 2. we also know can use process of elimination. "A" would be written as 3(2)+y, "C" would be written as 3(y+2), and "D" would be written as 3(y-2). hope this helped :)
The answer is: B - 3 times y, plus 2.

help me please and thank you​

Answers

Here, hope this helps you

help me out please
and i need a step by step explanation

Answers

Answer: 1 + (-1) + (-4) = -4

Step-by-step explanation:

By counting how many chips there are, you can get the following:

1 positive chip + 1 negative chip + 4 negative chips, which is

+1                      +          -1              + 4 x -1

= 1                     -1                           -4

= -4

please help ill mark brainliest​

Answers

Answer:

I think the answer is c now I'm using words to meet the 20 character minimum

9 x 6 and explenation will win a brainliest

Answers

Answer:

54

Step-by-step explanation:

9 = 3 x 3

6 = 3 x 2

9 x 6

= 3 x 3 x 3 x 2

= 54

Answer:

54

Step-by-step explanation:

9+9+9+9+9+9 = 54

Hope that helps. Can i have the brainliest :)

table devide by 666 multypli by 9999999999999999999999999999999 please help faster 50 seccond remaoning

Answers

Answer:

6.66e+33

Step-by-step explanation:

Is this a real question??

6.66634456433333557883363357883577 according to my Calculator

The following ordered pairs represent a function.
(-2,-4) (-1, -2) (0, 0) (1, 2) (2, 4)
Which two ordered pairs can be added to the given set and still have the set represent
a function?

Answers

Answer:

(-3,-6) and (3,6)

Step-by-step explanation:

First, use process of elimination on the answer choices with x coordinates already used in the relation, because a value of x cannot have 2 outputs, or y-values. This leaves you with 2 options. Hope I helped :D

Pre college need help with

Answers

Answer:

check online for more information

i was doing this task in math and I came across this: x-12x=0.88x . can someone plz explain why is this equal to this? I understand it's simplified, but how?​

Answers

1x-12x=0.88x

1x-12x=0.88x

11x=0.88x

-11x=0.88x-0.88x

-11.88x=0x

-11.88x=0

Isolate x

Pls help need it right now :((
If the standard deviation of of the values 2,4, 6,8 is 2.236, the the standard deviation of the values 4, 8, 12, 20 is?​

Answers

Answer:

5.916

count N : 4

Sum, Ex : 44

Mean , M

Variance , o2 : 35

Step-by-step explanation:

we are creating the mean value of the squares of the differences of each data point to the mean value (variance), and then we pull the square root to bring the differences back to the same dimension as the basic data points.

and since we are dealing with the whole "population" of data points and not only with a sample of a much larger set of data points, that mean value of the differences is a true mean value (divide by n = the number of data points). if we would deal with a sample of a much larger population, we would divide by n-1.

so, how does this work in practice ?

let's go first for the given example :

2, 4, 6, 8.

the mean value is : (2+4+6+8)/4 = 20/4 = 5.

the variance (mean value of the squared differences of each data point to the mean value) :

((2-5)² + (4-5)² + (6-5)² + (8-5)²)/4 = (9+1+1+9)/4 = 20/4 = 5.

the standard deviation is the square root of the variance.

so,

SD = sqrt(5) = 2.236067977...

now for the given problem :

4, 8, 12, 20

the mean value is : (4+8+12+20)/4 = 44/4 = 11.

the variance (mean value of the squared differences of each data point to the mean value) :

((4-11)² + (8-11)² + (12-11)² + (20-11)²)/4 = (49+9+1+81)/4 = 140/4 = 35.

the standard deviation is the square root of the variance.

so,

SD = sqrt(35) = 5.916079783... ≈ 5.916

please help ill mark brainliestO​

Answers

Answer:

8 cm

Step-by-step explanation:

According to the condition,

[tex]\dfrac{PQ}{RS} = \dfrac{QT}{ST}\\\\\implies \dfrac{9}{3} = \dfrac{QT}{4}\\\\ \implies 3 =\dfrac{QT}{4}\\\\\implies QT = 3 \times 4 = 12~ \text{cm}\\\\\text{Hence}~ QS =QT - ST = 12 -4 = 8~ \text{cm}[/tex]

HELP

HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.

THX

Answers

To find the number in a square, we have to multiply two circles which are connected to it.So, to find a number in a circle, we have divide the number in the square by the number in the circle connected to it.Therefore, -6 ÷ -3 = 212 ÷ 2 = 66 × -3 = -18

Please find the attached photograph for their positions.

Hope you could get an idea from here

Doubt clarification - use comment section.

Grade 5 Module 3: End-of-Module REVIEW
Name
Date
1.
On Sunday, Sheldon bought 3 kg of plant food. He used 1 kg on his strawberry plants and used kg
for his tomato plants.
a.
How many kilograms of plant food did Sheldon have left? Write one or more equations to show how
you reached your answer.
Ur
orit,
Match
b.
Sheldon wants to feed his strawberry plants 2 more times and his tomato plants two more times.
f plant food as before. How much plant food will he need? Does he

Answers

Answer: a.) 1kg b.) He would need to buy 4 more kilograms (kg) of plant food.

Step-by-step explanation:

The question was not complete, I am not sure about the answer.

Correct me if I am incorrect.

Can someone please help me

Answers

Answer:

all the small nembers x

Step-by-step explanation:

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