7
QuizMultiple Choice

Function Inverses

Question 7 • 26/27 ALGEBRA II A

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)?

Answer
A
{(3, 5), (5, 7), (6, 9), (10, 12), (12, 16)}
B
{(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}
C
{(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}
D
{(5, 3), (7, 5), (9, 6), (12, 10), (16, 12)}

Explanation

To find h⁻¹, switch the input and output in each ordered pair. For example, (3, −5) becomes (−5, 3), and (5, −7) becomes (−7, 5). Reversing all five pairs gives {(−5, 3), (−7, 5), (−9, 6), (−12, 10), (−16, 12)}, which is choice B.

AI-written and checked against the verified answer.

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