Function Inverses Answers

Choose a true statement.

g(x) is not a function because f(x) is not a function.

g(x) is not a function because f(x) is not one-to-one.

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

g(x) is a function because f(x) is not one-to-one.

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

g(x) = {(–4, –3), (0, –1), (4, 1), (8, 3)}

g(x) = {(–8, –3), (–4, 1), (0, 1), (4, 3)}

g(x) = {(8, –3), (4, –1), (0, 1), (–4, 3)}

g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}

a = ⇒ -3.8 b = ⇒ -2.6 c = ⇒ 1.7 d = ⇒ 4.4 e = ⇒ 1

Answers:

⇒ -3.8:-1

⇒ -2.6:0

⇒ 1.7:3

⇒ 4.4:-1

⇒ 1:2

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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.

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