find the difference quotient of f; that is, find (f(x + h)-f(x))/h, h≠0, for the following function. f(x)=…

find the difference quotient of f; that is, find (f(x + h)-f(x))/h, h≠0, for the following function. f(x)= - 8x + 5 (f(x + h)-f(x))/h = (simplify your answer.)

find the difference quotient of f; that is, find (f(x + h)-f(x))/h, h≠0, for the following function. f(x)= - 8x + 5 (f(x + h)-f(x))/h = (simplify your answer.)

Answer

Answer:

-8

Explanation:

Step1: Find f(x + h)

$f(x + h)=-8(x + h)+5=-8x-8h + 5$

Step2: Substitute f(x + h) and f(x) into the difference - quotient formula

$\frac{f(x + h)-f(x)}{h}=\frac{(-8x-8h + 5)-(-8x + 5)}{h}$

Step3: Simplify the numerator

$(-8x-8h + 5)-(-8x + 5)=-8x-8h + 5 + 8x-5=-8h$

Step4: Simplify the fraction

$\frac{-8h}{h}=-8$