Question

Instructions: Perform the given operation for the two stated functions. Type your answer in the space given. Remember to use the appropriate format, and do not use spaces.

What is the solution? It's a fraction.

g(x) = x + 5

f(x) = -2x - 1

Find: f(x) ÷ g(x)

Solution:

Option 1: f(x) ÷ g(x) = (-2x - 1) / (x + 5)
Option 2: f(x) ÷ g(x) = (x + 5) / (-2x - 1)
Option 3: f(x) ÷ g(x) = (-2x - 1) / (-2x - 1)
Option 4: f(x) ÷ g(x) = (x + 5) / (x + 5)

Answer 1

To divide the functions f(x) and g(x), form the fraction with f(x) as the numerator and g(x) as the denominator. The correct solution is f(x) ÷ g(x) = (-2x - 1) / (x + 5).

Step-by-step explanation:

The question asks for the division of two functions, f(x) and g(x). We need to divide the function f(x) = -2x - 1 by the function g(x) = x + 5. When dividing functions, we take the numerator function and place it over the denominator function. So, the solution to f(x) ÷ g(x) will look like f(x) ÷ g(x) = (-2x - 1) / (x + 5), which corresponds to Option 1.