Question the-fu

2.1 Nonlinear Functions - Function composition and evaluation
0:00

The function g is defined by gx=4x-6. What is the value of g-7?

A.

-34

B.

-22

C.

- 13 4

D.

- 1 4

The function g is defined by g x = 4 x - 6 . What is

Medium-difficulty · SAT Math · Nonlinear Functions — Function composition and evaluation. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. It’s given that the function g is defined by gx=4x-6. Substituting - 7 for x into the given equation yields g-7=4-7-6, or g-7=-34.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect. This is the value of x for which gx=-7, not the value of g-7.