Difference quotient

[mathmom]

I am trying to help my son with some homework, but we are stuck on a few problems. One is....

Find the difference quotient f(x+h)-f(x) with a long line under it and an h under it, h =(with a slash through the equal) 0, for thegiven function and simplify.

f(x) = 4x^2-3x-8

 

[Deleted member 4993]

I am trying to help my son with some homework, but we are stuck on a few problems. One is....

Find the difference quotient f(x+h)-f(x) with a long line under it and an h under it, h =(with a slash through the equal) 0, for thegiven function and simplify.

f(x) = 4x^2-3x-8

It will be better if your son communicated with us directly.

To start with:

f(x) = 4x^2-3x-8...... then

f(x+h) = 4(x+h)^2-3(x+h)-8

f(x+h) - f(x) = [4(x+h)^2-3(x+h)-8] - [4x^2-3x-8] = ? → simplify and factor out 'h'

Now divide the above result by 'h'

 

[stapel]

Find the difference quotient f(x+h)-f(x) with a long line under it and an h under it, h =(with a slash through the equal) 0, for thegiven function and simplify.

f(x) = 4x^2-3x-8

What did you son get when he applied what he'd learned back in algebra? Please reply with all of his steps and reasoning. Thank you!