10 points!!

Find the inverse of f(x) = √x-1

Answers

Answer 1

f
−
1
(
x
)
=
x
2
+
1
f
-
1
(
x
)
=
x
2
+
1

Answer 2

Answer:

Step-by-step explanation:

For a function to have an inverse, it has to pass the horizontal and vertical line test, yes both of them. This function does, so we can continue. The first step for finding an inverse is replacing f(x) with y. Then switch the places of x and y.

[tex]x=\sqrt{y-1}[/tex]

Now the next step is to solve for this new y value, which is equivalent to f^-1(x). Square both sides to get rid of the radical.

[tex]x^2=y-1[/tex]

Add 1 to both sides and that is your inverse function

[tex]y=x^2+1[/tex]

Related Questions

How many groups of 3/4 are in each of the following quantities?

Answers

Answer:

where are the quantities?

36% of 110 is what number?

Answers

36% of 110 is 39.6

I hope I helped!!!

what is the equation of a line when m = -7 and b = -8?

Answers

Answer:

Step-by-step explanation:

y = mx+b

y = -7x - 8

Answer:

y=-7x-8

Step-by-step explanation:

y=mx+b

m=slope

b=y intercept

please help with 5 please and thank you

Answers

Answer:

=4p^2−12p+13

Step-by-step explanation:

Let's simplify step-by-step.

4p^2−12p+13

There are no like terms.

3w - 11 = 25
can someone answer this plz

Answers

Answer:

w = 12

Step-by-step explanation:

3w = 11 + 25

3w = 36

w = 12

Hope that helps!

if you’re solving for W, the answer would be 12.

you subtract 11 from both sides leaving you with 3w=36, then you would divide by 3 on each side to get the w alone, leaving you with w=12

Complete the input-output table for linear equation y=8x+7

Answers

8-71
16-135
24-199
32-263

find the measure of

Answers

Answer:

The measure of what???

Add pictures please and thanks

What is the image of (8,-6) after a reflection over the line y = x?

Answers

Answer:

Step-by-step explanation:

Interchange x and y: (-6, 8) is the image of (8, -6) after a reflection over y = x.

The image of (8,-6) after a reflection over the line y=x is (-6, 8).

The given coordinate point is (8, -6).

What is a reflection over the line y=x?

Reflect over the y = x, when you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).

The image of (8,-6) after a reflection over the line y=x is

Reflecting in the line y = x interchanges the x and y coordinates. So, the image of (8, -6) is (-6, 8).

Therefore, the image of (8,-6) after a reflection over the line y=x is (-6, 8).

Learn more about the reflection over the line y=x visit:

https://brainly.com/question/18376051.

#SPJ2

complete the algebraic table for y = 2x + 3

given: x ---> -2, -1, 0, 1, 2, 3
y ----> ?, 1, ?, ?,7,?

Answers

Answer:

y ----→ -1 , 1 , 3 , 5 , 7 , 9

Step-by-step explanation:

LINEAR EQUATION GIVEN IN THE QUESTION :- y = 2x + 3

In the question , some values of variable 'x' are given. Lets put each value of 'x' in the equation.

When x = -2 ; [tex]y = 2(-2) + 3 = -4 + 3 = -1[/tex]When x = -1 ; [tex]y = 2(-1) + 3 = -2 + 3 = 1[/tex]When x = 0 ; [tex]y = 2(0) + 3 = 0 + 3 = 3[/tex]When x = 1 ; [tex]y = 2(1) + 3 = 2 + 3 = 5[/tex]When x = 2 ; [tex]y = 2(2) + 3 = 4 + 3 = 7[/tex]When x = 3 ; [tex]y = 2(3) + 3 = 6 + 3 = 9[/tex]

Thus , we got all the required values of y.

PLEASEEEEEE HELPP ME EEEE :)

Answers

It’s true:) hope this helps

Pretty sure it’s True

please help (URGENT) (im slow)

Answers

Answer:

x=8

Step-by-step explanation:

What is the solution to the following equation? -6(x-2) + 3x = -3(x + 3) + 21
(This is not multiple choice and I need the answer in number form, with explanation please) :)

Answers

9514 1404 393

Answer:

no solution

Step-by-step explanation:

Simplifying the given equation, you have ...

-6(x -2) +3x = -3(x +3) +21 . . . . . given

-6x +12 +3x = -3x -9 +21 . . . . . . eliminate parentheses

-3x +12 = -3x +13 . . . . . . . . . . . . collect terms

0 = 1 . . . . . . . . . . . . . add (3x-12) to both sides

There is no value of x that will make this true.

The equation has NO SOLUTION.

-6(x+2) + 3x = -3(x+3) + 21

-6x - 12 + 3x = -3x - 9 + 21

-3x - 12 = -3x + 12

-3x + 3x = 12 + 12

0 = 24

Sorry but this equation has no solution.
-3x + 3x = 0, x is cancelled out so we can’t find ‘x’.

need help with this question asap !!!

Answers

Answer:

I think it is B

Step-by-step explanation:

Answer: D) 12

=========================================================

Work Shown:

The smaller angles UVN and NVW add up to the largest angle UVW.

This is due to the angle addition postulate.

(angle UVN) + (angle NVW) = angle UVW

(6x+13) + (46) = 11+10x

6x + 59 = 11 + 10x

6x - 10x = 11 - 59

-4x = -48

x = -48/(-4)

x = 12

----------------

Extra info:

If you're curious about the angles, then we use that x value to find them

angle UVN = 6x+13 = 6*12+13 = 72+13 = 85 degreesangle NVW = 46 degreesangle UVW = 11+10x = 11+10*12 = 11 + 120 = 131 degrees

Note how 85+46 = 131 to show that (angle UVN) + (angle NVW) = angle UVW is a true equation. This confirms our answer for x.

V = 5x + 2y
x= 3
y=-4
a) Work out the value of V
b) Expand 3p(p + 5)
c) Solve 4(k - 6) = 20

Answers

Answer:

a.7

[tex]3 {p }^{2} + 15p[/tex]

c.k=11

Step-by-step explanation:

a.V=5x + 2y ,x=3,y= -4

V=5(3)+2(-4)

=15+(-8)

=15-8

b.3p(p + 5)

[tex]3 {p}^{2} + 15p [/tex]

c.4(k-6)=20

4k-24=20

4k-24+24=20+24

4k=44

4k/4=44/4

k=11

hope it's helpful ❤❤❤❤

THANK YOU.

What is the quotient?
- -2

Answers

Answer: You need 2 terms so there isn't one

The term "quotient" is most commonly used to refer to the ratio of two quantities and , where. . Less commonly, the term quotient is also used to mean the integer part of such a ratio.

Step-by-step explanation:

Solve the equation for all values of x in simplest form:
(x - 2)2 = 49

Answers

2x-4=49
2x=54
x is equal to 27

An uses they equation y= 8.25x to calculate the total cost y in dollars for x posters. How much did she spend on 6 posters?

Answers

well if the equation is y=8.25x it means that you would multiply 8.25 x 6 to get the total cost of the posters.

8.25 x 6 = 49.50

49.50 would be the total cost! I hope this helps!

Find the distance between 2 and -2

A) -6
B) -4
C) 0
D) 4

Answers

D because -1,0,1, and 2 it’s called the absolute value which is always positive when counting from one point to another

Answer:

Step-by-step explanation:

Is it possible for two numbers to have a difference of 8, and a sum of -6? If so, what are the two numbers?

Answers

Answer: The two numbers are 1 and -7

1 minus -7 = 1 - (-7) = 1 + 7 = 8 .... difference

1 plus -7 = 1 + (-7) = -6 .... sum

===================================================

Explanation:

Let x and y be the two numbers. Let's say that x > y. Meaning that x is the bigger value.

They have a difference of 8 tells us that

x-y = 8

since "difference" is the result of subtraction. The term "sum" means the result of addition. Having a sum of -6 tells us

x+y = -6

We have this system of equations

[tex]\begin{cases}x-y = 8\\x+y = -6\end{cases}[/tex]

We can add the equations straight down. So we add the x terms to get x+x = 2x. The y terms add to -y+y = 0y = 0, so the y terms go away. The stuff on the right hand side adds to 8+(-6) = 2

After adding the equations straight down, we boil things down to the equation 2x = 2 which solves to x = 1, after dividing both sides by 2.

Then you'll use x = 1 to find y

x-y = 8

1-y = 8

-y = 8-1

-y = 7

y = -7

x+y = -6

1+y = -6

y = -6-1

y = -7

Regardless of what equation you pick, you should end up with the same y value. This helps confirm we have the correct x value.

Another way to check is to plug (x,y) = (1,-7) into both equations of the system. You should end up with true statements after simplifying fully.

So the two numbers are x = 1 and y = -7

Find the slope of a line that passes through (2,4) and (-4,7) ?

a
1/2
b
- 1/2
c
-2
d
2

Answers

Answer:

Step-by-step explanation:

y^2-y^1/x^2-x^1 Formula

7-3/-4-4=4/-8= -1/2

7.602 neastest whole number

Answers

Answer:

Step-by-step explanation:

since it's 7.6, the rule of rounding is if it's five or more go up, and 4 or less stays the same. since it's 6, you go up to the nearest whole number, which is 8

The price of a 9-minute phone call is $2.25. What is the price of a 19-minute phone call?

Answers

Answer:

$4.75

Step-by-step explanation:

9/2.25=19/x

cross product

2.25*19=9*x

42.75=9x

x=42.75/9

x=4.75

Thanks for helping if ya did

Answers

Answer:

Step-by-step explanation:

Answer:

785 m

Step-by-step explanation:

Brainliest, pleeeeaseee??? Thanks I love YOUUUUUU

Plez help finding percent change

Answers

Answer:

can't see proprly

Step-by-step explanation:

Jamie need to earn more than $4,000 to pa his monthly bills. he earns a monthly salary of $2,500 plus an extra $75 for every electronic device he sells. Write an inequality to determine the minimum number of electronic devices Jamie needs to sell each month in order to have enough money to pay his monthly bills. Let d represent the number of electronic devices Jamie needs to sell each month. Help plz.

Answers

Answer:

Step-by-step explanation:

what is the answer i need help

Answers

Answer:

Step-by-step explanation:

add 5+5+7+6+4

Geometry please help thanks

Answers

Answer:

the answer is SSS (side-side-side)

Step-by-step explanation:

since the picture shows red tick marks on each side it's showing you they are all congruent by the sides which is the method SSS (side-side-side)

While testing 10 light bulbs, Harvey finds that 6 of them do not light. Which best describes the fraction of light bulbs that are working? A. number of light bulbs that are not working/total number of light bulbs B. number of light bulbs that are working/number of light bulbs not working C. number of light bulbs that are not working/number of light bulbs working D. number of light bulbs that are working/total number of light bulbs

Answers

Answer:

4/10

Step-by-step explanation:

There is 10 of them, and 6 are not working. So, it is 4/10

Identify whether the expressions are equivalent or not equivalent: 7y – 15 + 2y and 9y - 15

Answers

Answer:

Yes, the two expressions are equivalent

The given expression 7y - 15 + 2y and 9y - 15 are equivalent.

What is equivalent expression?

Two algebraic expressions are said to be equivalent if their values obtained by substituting the values of the variables are same, even they look different.

According to the given question.

We have two expressions

[tex]7y - 15 + 2y ...(i)[/tex]

And, [tex]9y - 15 ...(ii)[/tex]

The expression (i) can be written as

[tex]7y - 15 + 2y[/tex]

[tex]=(7y + 2y)-15[/tex] (adding the like terms)

[tex]= 9y -15[/tex]

Hence, the given expression 7y - 15 + 2y and 9y - 15 are equivalent.

Find out more information about equivalent expression here:

https://brainly.com/question/27733205

The variable in the term 7m⁴ is raised to the power of

Answers

Answer:

Raised to the power of 4

Step-by-step explanation:

Hooppee heelps

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10 points!! Find the inverse of f(x) = √x-1

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10 points!!

Find the inverse of f(x) = √x-1