Question

For f(x)=4x+1 and g(x)=x^2 -5, find (f/g)(x)

Answer 1

the expression (f/g)(x) is (4x + 1) / (x^2 - 5)

Explanation:

1. Write the expressions for f(x) and g(x):

- f(x) = 4x + 1

- g(x) = x^2 - 5

2. Substitute the expressions into (f/g)(x):

(f/g)(x) = f(x) / g(x)

= (4x + 1) / (x^2 - 5)

3. Simplify the expression, if possible:

Since the numerator and denominator do not have any common factors, we cannot simplify the expression further.