Answer
(fg)(-6) = -102
Work Step by Step
The notation (fg)(-6) can be rewritten as f(-6) * g(-6). This can be solved by evaluating the two functions at -6 and then multiplying the two numbers together.
In this question:
f(x) = x + 3
g(x) = $x^{2}$ - 2
Evaluate the functions and then multiply:
First we want to evaluate f(x) at x = -6:
f(-6) = -6 + 3 = -3
Then we want to evaluate g(x) at x = -6:
g(-6) = $(-6)^{2}$ - 2 = 36 - 2 = 34
Multiply the numbers together:
(fg)(-6) = -3 * 34 = -102
