Question

Using f(x) = x-2 and g(x) = 5x+3, find f(g(-4)).

f(g(-4)) =

Answer 1

`f(x) = x - 2 \\ g(x) = 5x + 3 \\ f(g(x)) = (5x + 3) - 2 \\ f(g(x)) = 5x + 3 - 2 \\ f(g(x)) = 5x + 1 \\ f(g( - 4)) = 5( -4) + 1 \\ f(g( - 4)) = - 20 + 1 \\ \boxed{f(g( - 4)) = - 19}`

• f(g(-4)) = -19 is the right answer.

Answer 2

• -19

Explanation:

Given:

• f(x) = x-2 and g(x) = 5x+3

Find g(-4) first:

• g(-4) = 5(-4) + 3 = -20 + 3 = -17

Now find f(-17):

• f(-17) = -17 - 2 = -19