9514 1404 393
Answer:
16x +8h
Step-by-step explanation:
Use the given function arguments and simplify.
[tex]\dfrac{f(x+h)-f(x)}{h}=\dfrac{8(x+h)^2-8x^2}{h}=\dfrac{8(x^2+2hx+h^2)-8x^2}{h}\\\\=\dfrac{8x^2 +16xh+8h^2-8x^2}{h}=\dfrac{16xh+8h^2}{h}=\boxed{16x +8h}[/tex]
