Question

Given f (x) = 3x – 5 and g(x) = 2x + 1, find g(f(x)).

Answer 1

g(f(x)) = 6x -9

Explanation:

Given f(x) = 3x –5 and g(x) = 2x +1, you want to find g(f(x)).

Function evaluation

A function is evaluated by simplifying the result of substituting the argument for the function's variable.

g(f(x)) = 2·f(x) +1 = 2(3x -5) +1 = 6x -10 +1

g(f(x)) = 6x -9