Question

Find the difference quotient and simplify. f(x)=2x^2+3x-1, f(x+h)-f(x)/h, h does not equal 0

Answer 1

one step at a time

Answer 2

\[ f(x)=2x^2+3x-1\]
\[ f(x+h)=2(x+h)^2+3(x+h)-1\] is the first step
then multiply out and combine like terms

Answer 3

multiply carefully
\[2(x+h)^2+3(x+h)-1=2x^2+4xh+2h^2+3x+3h-1\]

Answer 4

then subtract
\[2x^2+4xh+2h^2+3x+3j-1-[2x^2+3x-1]\]all the terms without the \(h\) will go