Answer: 5h + 10x -6
Step-by-step explanation:
if we plug f(x) into the equation we get:
[tex]\frac{[5(x+h)^2 - 6(x+h) + 4] - [5x^2 - 6x + 4]}{h}[/tex]
now from here we can simplify:
[tex]\frac{5x^2 + 5h^2 + 10xh - 6x - 6h + 4 - 5x^2 + 6x - 4}{h}[/tex]
now add liked terms
[tex]\frac{5h^2 + 10xh - 6h}{h}[/tex]
cancel what we can:
5h + 10x - 6
