We can do the following steps to find the quotient difference for the given function.
Step 1: We find f(x + h). For this, we replace x = x + h into the given function.
Step 2: We apply the quotient difference formula.
Step 3: We rationalize the numerator. For this, we multiply by the conjugate of the numerator.
Step 4: We simplify as much as we can. For this, we factor the numerator using the difference of squares formula.
Then, we have:
Therefore, the difference quotient of the function is: