Question

algebra 2a semester online practice
complete this assessment to review what you’ve learned. it will
which of the following is a pair of inverse points? (1 point)
( g(4) = -9 ) and ( g^{-1}(-9) = 4 )
( g(4) = -9 ) and ( g^{-1}(-9) = 0 )
( g(4) = -9 ) and ( g^{-1}(-9) = -4 )
( g(4) = -9 ) and ( g^{-1}(-9) = 9 )
check answer remaining attempts : 3

Explanation:

Step1: Recall inverse function definition

For a function \( g \), if \( g(a) = b \), then \( g^{-1}(b) = a \).

Step2: Apply definition to given options

We have \( g(4) = -9 \). By the inverse function property, \( g^{-1}(-9) \) should equal \( 4 \).
Check each option:

• First option: \( g(4) = -9 \) and \( g^{-1}(-9) = 4 \) (matches the property).
• Second option: \( g^{-1}(-9) = 0 \) (does not match, since it should be 4).
• Third option: \( g^{-1}(-9) = -4 \) (does not match).
• Fourth option: \( g^{-1}(-9) = 9 \) (does not match).

Answer:

A. \( g(4) = -9 \) and \( g^{-1}(-9) = 4 \)