Question

If f(x) = fraction numerator 4 over denominator x plus 3 end fractionand g(x) = x^(2) - 3, find Find f[g(x)]

Answer 1

To find f[g(x)], substitute g(x) into the function f(x) by replacing x with g(x).

Step-by-step explanation:

To find f[g(x)], we need to substitute g(x) into the function f(x). First, let's find g(x) by evaluating x^2 - 3.

Now, substitute g(x) into f(x), which is the fraction 4/(x + 3). Instead of x, we will substitute with g(x):

f[g(x)] = 4/(g(x) + 3)

Substitute g(x) into the equation:

f[g(x)] = 4/((x^2 - 3) + 3)

Simplify the expression:

f[g(x)] = 4/(x^2)