Answer
(fg)(6) = 306
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 = 9
Then we want to evaluate g(x) at x = 6:
g(6) = $6^{2}$ - 2 = 36 - 2 = 34
Multiply the numbers together:
(fg)(6) = 9 * 34 = 306
(fg)(6) = 306
