Question

Let f(x)=-2x-7 and g(x)=-4x+3 find (f°g)(-5)

Answer 1

-53

Explanation:

f°g = f(g(x)) Remember this because this notation is less confusing for you.

Step 1. Plug g(x) in all values of x in the function f(x).

f(g(x)) = -2(-4x+3) -7

Step 2. Distribute the -2

-2(-4x+3) = 8x -6

f(g(x)) = 8x-6-7

Step 3. Simplify by subtracting -6 - 7

f(g(x)) = 8x-13

Step 4. Plug in -5 for x

8(-5) - 13 = -40 - 13 = -53