Question

Let (f(x) = x - 2) and (g(x) = x). Find (g(f(7))).
A) 245
B) 49
C) 25
D) 5

Answer 1

D) 5. To find (g(f(7))) with given functions f(x) = x - 2 and g(x) = x, you calculate f(7) and then apply g to that result. The answer is g(f(7)) = 5, so the correct choice is D.

Step-by-step explanation:

The student has asked to find (g(f(7))), where f(x) = x - 2 and g(x) = x. To solve this, you perform the function composition: first find f(7), then apply g to the result of f(7).

First, compute f(7):
f(7) = 7 - 2 = 5.

Next, apply g to the result of f(7):
g(f(7)) = g(5) = 5.

Therefore, g(f(7)) equals 5, which corresponds to choice D.