Question

If(x) = –2x – 5 and g(x) = -x + 7Find g(f(-2)).

Answer 1

g(f(-2)) = 8

Step-by-step explanation

We are given that

f(x) = -2x - 5

and

g(x) = -x + 7

We want to find g(f(-2)).

To do this, we have to first find f(x) when x = -2 and then put that value into g(x).

That is:

f(x = -2) = f(-2) = -2(-2) - 5

f(-2) = 4 - 5

f(-2) = -1

Therefore, g(f(-2)) is:

g(f(-2)) = g(x = -1) = g(-1) = -(-1) + 7

g(f(-2)) = 1 + 7

g(f(-2)) = 8