Function Inverses Answers

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If and , which expression could be used to verify g(x) is the inverse of f(x)?

one-fifth (one-fifth x + 5) + 5

One-fifth (5 x minus 25) + 5

StartFraction 1 Over (one-fifth x + 5) EndFraction

5 (one-fifth x + 5) + 5

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If , what is ?

Option

Which function has an inverse that is also a function?

{(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

{(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}

{(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}

{(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}

If and , which expression could be used to verify that is the inverse of ?

one-third (one-third x)

Option

Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?

The graph of f(x) passes the vertical line test.

f(x) is a one-to-one function.

The graph of the inverse of f(x) passes the horizontal line test.

f(x) is not a function.

If and are inverse functions of each other and , what is ?

Option

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?

On a coordinate plane, a straight line has a positive slope and goes through (negative 2, negative 1), (0, 0), and (4, 2).

On a coordinate plane, a straight line has a positive slope and goes through (negative 3, negative 3), (0, 0), and (3, 3).

On a coordinate plane, a straight line has a negative slope and goes through (negative 4, 2), (0, 0), and (4, negative 2).

On a coordinate plane, a straight line has a negative slope and goes through (negative 3, 3), (0, 0), (3, negative 3).

The function h(x) is given below.h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}Which of the following gives h–1(x)?

{(3, 5), (5, 7), (6, 9), (10, 12), (12, 16)}

{(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}

{(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}

{(5, 3), (7, 5), (9, 6), (12, 10), (16, 12)}

Which function has an inverse that is also a function?

{(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)}

{(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)}

{(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}

{(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}

The function f(x) is shown below.xf(x)–61–32255380If g(x) is the inverse of f(x), what is the value of f(g(2))?

–6

–3

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