Answer
(f/g)(5) = 8/ 23
Work Step by Step
The notation (f/g)(5) can be rewritten as f(5) / g(5). This can be solved by evaluating the two functions at 5 and dividing the two numbers.
In this question:
f(x) = x + 3
g(x) = $x^{2}$ - 2
Evaluate the functions and then divide:
First we want to evaluate f(x) at x = 5:
f(5) = 5 + 3 = 8
Then we want to evaluate g(x) at x = 5:
g(5) = $(5)^{2}$ - 2 = 25 - 2 = 23
Divide the numbers:
(f/g)(5) = 8/ 23
(f/g)(5) = 8/ 23
