Question the-fu

2.1 Nonlinear Functions - Function composition and evaluation
0:00

The function p is defined by pn=7n3. What is the value of n when p(n) is equal to 56 ?

A.

2

B.

8 3

C.

7

D.

8

The function p is defined by p n = 7 n 3 . What is the

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 pn=7n3. Substituting 56 for pn in this equation yields 56=7n3. Dividing each side of this equation by 7 yields 8=n3. Taking the cube root of each side of this equation yields 2=n. Therefore, when pn is equal to 56 , the value of n is 2 .

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 and may result from conceptual or calculation errors.