Question the-fu

2.1 Nonlinear Functions - Function composition and evaluation
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The function g is defined by gx=8x+1. What is the value of g3?

A.

5 8

B.

25 8

C.

5

D.

25

The function g is defined by g x = 8 x + 1 . 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 C is correct. It’s given that the function g is defined by gx=8x+1. Substituting 3 for x in the given function yields g3=83+1, which is equivalent to g3=25, or g3=5. Therefore, the value of g3 is 5 .

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

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

Choice D is incorrect. This is the value of 83+1, not 83+1.