Question

For the following functions, f(x) = x + 5 , and g(x) = x - 4

Find ( f/g ) (x)=

Answer 1

Answer: The expression (f/g)(x) represents the composition of functions f and g, also known as the quotient of functions. To find (f/g)(x), you need to perform the following steps:

• Start with the expression (f/g)(x).
• Replace f(x) with its expression: f(x) = x + 5.
• Replace g(x) with its expression: g(x) = x - 4.

Now, substitute these expressions into the original expression:

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

= (x + 5) / (x - 4)

So, the expression for (f/g)(x) is (x + 5) / (x - 4).