Question

If f(x) = -x^2+4x-9 and g(x) = x - 8 find g(f(-1)).​

Answer 1

Answer: g(f(-1))=-22

Step-by-step explanation:

To find g(f(-1)), you want to first want to solve f(-1). Once you solved that, you plig the answer you get into g(x). Then, you will have your final answer.

f(-1)=-(-1)²+4(-1)-9                  [exponent]

f(-1)=-1+4(-1)-9                       [multiply]

f(-1)=-1-4-9                             [subtract from left to right]

f(-1)=-14

We have found that f(-1)=-14. Now, we know in -14 into g(x) and solve.

g(-14)=(-14)-8                         [subtract]

g(-14)=-22

Now, we know that g(f(-1))=-22.