Question

Given the functions f(x) = 10x + 25 and g(x) = x + 8, which of the following functions represents f[g(x)] correctly?

f[g(x)] = 10x + 33
f[g(x)] = 10x2 + 33
f[g(x)] = 10x + 105
f[g(x)] = 10x2 + 105

Answer 1

f[g(x)] = 10x + 105

Explanation:

f(x) = 10x + 25 and g(x) = x + 8

`f[g(x)] = 10(x + 8) + 25 \\ \\ f[g(x)] = 10x + 80 + 25\\ \\ f[g(x)] = 10x + 105`