Answer
(f/g)(0) = -3/2
Work Step by Step
The notation (f/g)(0) can be rewritten as f(0) / g(0). This can be solved by evaluating the two functions at 0 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 = 0:
f(0) = 0 + 3 = 3
Then we want to evaluate g(x) at x = 0:
g(0) = $(0)^{2}$ - 2 = -2
Divide the numbers:
(f/g)(0) = 3/-2 = -3/2
(f/g)(0) = -3/2
