Function Inverses Answers

16 verified answers
1
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a = b = c = d = e =

Answers:
Blank 1:-3.8
Blank 2:-2.6
Blank 3:1.7
Blank 4:4.4
Blank 5:1
3

⇒ 1.7

Answer:

1.7

4

⇒ 4.4

Answer:

4.4

5

⇒ 1

Answer:

1

6

Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your answer.

Answer:

No. His rearrangement is correct, but he must switch x and y to write the inverse: f⁻¹(x) = (x - 4)/-8 = (4 - x)/8.

12

f(x) = 4x − 12 f−1(x) = x +

Answers:
Blank 1:1/4
Blank 2:3
14

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15

Is the inverse of the function shown below also a function? Explain your answer.

Answer:

Yes. The inverse is also a function because the graph passes the horizontal line test, so the original function is one-to-one.

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