For the function f(x)=-4x+9 , evaluate and simplify the difference quotient.

To evaluate and simplify the difference quotient for the function , we need to follow these steps:1. Find the expression for by substituting into the function.2. Calculate the difference quotient .3. Simplify the resulting expression.Step 1: Find Substitute into the function : Step 2: Calculate the difference quotientThe difference quotient is given by .Substitute and into the difference quotient: Step 3: Simplify the expressionSimplify the expression : Therefore, the simplified difference quotient for the function is .