Question

Given the functions f(x) = 7x + 13 and g(x) = x + 2, which of the following functions represents f[g(x)] correctly?

f[g(x)] = 7x + 15
f[g(x)] = 7x + 27
f[g(x)] = 7x2 + 15
f[g(x)] = 7x2 + 27

Answer 1

The correct answer is B f[g(x)] = 7x + 27

Explanation:

Answer 2

f(x) = 7x + 13
g(x) = x + 2

f[g(x)] = 7(x + 2) + 13
f[g(x)] = 7(x) + 7(2) + 13
f[g(x)] = 7x + 14 + 13
f[g(x)] = 7x + 27

The answer is B.