find the difference quotient (f(x + h)-f(x))/h, where h≠0, for the function below. f(x)=-5x + 3 simplify…

find the difference quotient (f(x + h)-f(x))/h, where h≠0, for the function below. f(x)=-5x + 3 simplify your answer as much as possible. (f(x + h)-f(x))/h =

find the difference quotient (f(x + h)-f(x))/h, where h≠0, for the function below. f(x)=-5x + 3 simplify your answer as much as possible. (f(x + h)-f(x))/h =

Answer

Explanation:

Step1: Find f(x + h)

Substitute (x+h) into (f(x)): (f(x + h)=-5(x + h)+3=-5x-5h + 3)

Step2: Calculate f(x + h)-f(x)

[ \begin{align*} f(x + h)-f(x)&=(-5x-5h + 3)-(-5x + 3)\ &=-5x-5h + 3 + 5x-3\ &=-5h \end{align*} ]

Step3: Find the difference - quotient

(\frac{f(x + h)-f(x)}{h}=\frac{-5h}{h}=-5)

Answer:

(-5)