Question

Let f(x)=x-2 and g(x)=x^2-7x-9. Find f(g(-1)).
Can someone help me step by step?

Answer 1

\(\bf g(x)=x^2-7x-9\qquad \qquad g(-1)=?\)

Answer 2

Is it -15? @jdoe0001

Answer 3

Yes, it is -15 :)

Answer 4

Do I just plug -15 in for x in f(x)? @Tommynaiter

Answer 5

Yes, you are correct.

Answer 6

Awesome, thank you guys :) @Tommynaiter @jdoe0001

Answer 7

hmmmm
what's hmmm \(\Large (-1)^2=?\)

Answer 8

1 @jdoe0001

Answer 9

\(\bf g(x)=x^2-7x-9\qquad \qquad g(-1)=(-1)^2-7(-1)-9
\\ \quad \\
g(-1)=1+7-9\implies g(-1)=8-9\implies g(-1)=-1\)

Answer 10

and yes, then you just plug in g(-1) into f(x)

Answer 11

Oh okay, I accidentally did 7(-1) not -7(-1). I mixed up my signs. Okay, thank you :) So my final answer would be -3 correct? @jdoe0001