# Let f(x) = x - 2 and g(x) = x^2 - 7x - 9 how do you find f(g(-1))?

Sep 3, 2016

f(g(-1)) = -3

#### Explanation:

The first step is to find g(-1):
$g \left(- 1\right) = {\left(- 1\right)}^{2} - 7 \left(- 1\right) - 9$
$= 1 + 7 - 9 = - 1$

Since we know g(-1) = -1, we can say f(g(-1)) = f(-1).

The next step is to do f(-1);
$f \left(- 1\right) = - 1 - 2 = - 3$