Question

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

Answer 1

Answer:

f(g(x)) = x^2 + 27.

Step-by-step explanation:

To find f(g(x))  we replace the x in  f(x) by g(x) and simplify:

f(g(x)) =   7(x^2 + 2) + 13

= 7x^2 + 14 + 13.

= 7x^2 + 27.