Question

If f(x)=14x +2 and g(x)=1/2x-3 find g(f(x))

Answer 1

Composing Functions

Answer:

`g(f(x)) = 7x -2`

Explanation:

Given:

`f(x) = 14x +2`

`g(x) = (1)/(2)x -3\\`

`g(f(x)) = (1)/(2)(f(x)) -3 \\ g(f(x)) = (1)/(2)(14x +2) -3 \\ g(f(x)) = ((1)/(2))14x+((1)/(2))2 -3 \\ g(f(x)) = 7x +1 -3 \\ g(f(x)) = 7x -2`