Function Inverses Answers

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1
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Identify the inverse g(x) of the given relation f(x).f(x) = {(8, 3), (4, 1), (0, –1), (–4, –3)}

A
g(x) = {(–4, –3), (0, –1), (4, 1), (8, 3)}
B
g(x) = {(–8, –3), (–4, 1), (0, 1), (4, 3)}
C
g(x) = {(8, –3), (4, –1), (0, 1), (–4, 3)}
D
g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}
2
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Choose a true statement.

A
g(x) is not a function because f(x) is not a function.
B
g(x) is not a function because f(x) is not one-to-one.
C
g(x) is a function because f(x) is one-to-one.
D
g(x) is a function because f(x) is not one-to-one.
3

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
4

⇒ -2.6

Answer:

-2.6

5

⇒ 1.7

Answer:

1.7

6

⇒ 4.4

Answer:

4.4

7

⇒ 1

Answer:

1

8

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.

15

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17

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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Function Inverses Answers — FL-1200330-Algebra 2