Question

Evaluate the function for f(x) = x + 3 and g(x) = x2 − 2. (f/g)(0)

Answer 1

(f/g)(0) is an illustration of composite function.

The value of (f/g)(0) is -3/2

The given parameters are:

$f(x) = x + 3$

$g(x) = x^2 - 2$

First, we calculate (f/g)(x)

(f/g)(x) is represented as

$(f/g)(x) = \frac{f(x)}{g(x)}$

Substitute values for f(x) and g(x)

$(f/g)(x) = \frac{x + 3}{x^2 -2}$

Substitute 0 for x

$(f/g)(0) = \frac{0 + 3}{0^2 -2}$

Evaluate the exponents

$(f/g)(0) = \frac{0 + 3}{0 -2}$

Simplify the numerator and the denominator

$(f/g)(0) = \frac{3}{-2}$

Rewrite as:

$(f/g)(0) = -\frac{3}{2}$

Hence, the value of (f/g)(0) is -3/2

Read more about composite functions at:

brainly.com/question/10830110