Question

Let f(x)=3x-1, and g(x)= - 2x-4. Evaluate
g( f(-2))
Help plzz

Answer 1

`f(x) = 3x - 1 \\ g(x) = - 2x - 4 \\ g(f(x)) = - 2(3x - 1) - 4 \\ g(f(x)) = - 6x + 2 - 4 \\ g(f(x)) = - 6x - 2 \\ g(f( - 2)) = - 6( - 2) - 2 \\ g(f( - 2)) = 12 - 2 \\ \boxed{g(f( - 2)) = 10}`

• g(f(-2)) = 10 is the right answer.

Answer 2

10

Explanation:

f(x)=3x-1

g(x)= - 2x-4.

g( f(-2))

First find f(-2)

Let x = -2

f(-2)=3(-2)-1 = -6-1 = -7

Now find g(-7)

g(-7) = -2(-7) -4 = 14 -4 = 10