Inverse functions

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11 Terms

1
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Which of the following is the inverse function of y = 3x + 1?

y = (x - 1)/3

2
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Which of the following is the inverse of the given function? y=3x^5 -4

y=^5√ x+4/3

3
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What is the inverse of the function y = 3e^-4x + 1?

y=1-in (x/3)/4

4
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Consider the function y = 9 - x2, where x ≥ 3.

What is the inverse of the function? What is the domain of the inverse? Show all of your work for full credit.

Inverse of the given function,

[y=sqrt 9-x]

And, its domain is,

(-infinity, 9]

5
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Find the inverse of the linear function y=1/2x+3

f(x)= 2x-6

6
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Find the inverse of the logarithmic function y = log2(x + 7)?

y = 2^x - 7

7
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Determine the equation of the inverse of y=-4/x +1

The inverse is y=-a/x-bwhere a =

and b =

4

1

8
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Which of the following equations represents the inverse of y = e^2x - 9?

y=1/2in(x+9)

9
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Find the inverse of y= 2^5√ x

y=(x/2)^5

10
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Which of these functions has an inverse function? Select all that apply.

y=x

y=x³

11
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Suppose that a function does have an inverse. The graph of its inverse will be the reflection of the graph of the function over which of the following? Choose only one correct answer.

the line y = x