Question

Given f(x) = 6x + 5) and g(x) = 4x + a), what is the formula for (f/g)(x))?

a) 6x + 5/4x + a
b) 6x + 5/4x - a
c) 4x + a/6x + 5
d) 4x - a/6x + 5

Answer 1

The formula for (f/g)(x) is (6x + 5)/(4x + a), which corresponds to option a).

Step-by-step explanation:

To find the formula for (f/g)(x), we divide the function f(x) by the function g(x). The function f(x) is given as 6x + 5 and the function g(x) as 4x + a.

Therefore, the quotient of these functions or the composition (f/g)(x) will be (6x + 5)/(4x + a), which matches the formula in option a).