Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

f(x) = -5x + 8
evaluate and simplify the difference quotient.

Sagot :

AlgebraicAardvark

In general, the difference quotient is [tex]\dfrac{f(x+h)-f(x)}{h}[/tex].

Before we evaluate all of that, we need to find the two top pieces individually.

     [tex]\begin{aligned}\\f(x+h) &= -5(x+h)+8 \\[0.5em]&= -5x-5h+8\\\end{aligned}[/tex]

and

    [tex]f(x) = -5x+8[/tex]

We'll plug that back into the difference quotient:

    [tex]\begin{aligned}\dfrac{f(x+h)-f(x)}{h} &= \dfrac{(-5x-5h+8)-(-5x+8)}{h}\\[0.7em]&= \dfrac{-5x-5h+8+5x-8}{h}\end{aligned}[/tex]

Can you take it from there?

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.