Question

F(x+h)-f(x)

Answer 1

9514 1404 393

Answer:

  8x +4h

Step-by-step explanation:

  $\dfrac{f(x+h)-f(x)}{h}=\dfrac{(4(x+h)^2-8)-(4x^2-8)}{h}\\\\=\dfrac{(4x^2 +8xh+4h^2)-(4x^2-8)}{h}=\dfrac{8xh+4h^2}{h}\\\\=\boxed{8x+4h}$