Question

Can someone plz help me solved this problem! I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!

Answer 1

Answer:

a). 8(x + a)

b). 8(h + 2x)

Step-by-step explanation:

a). Given function is, f(x) = 8x²

    For x = a,

    f(a) = 8a²

    Now substitute these values in the expression,

    $\frac{f(x)-f(a)}{x-a}$ = $\frac{8x^2-8a^2}{x-a}$

                  = $\frac{8(x^2-a^2)}{(x-a)}$

                  = $\frac{8(x-a)(x+a)}{(x-a)}$

                  = 8(x + a)

b). $\frac{f(x+h)-f(x)}{h}$ = $\frac{8(x+h)^2-8x^2}{h}$

                      = $\frac{8(x^2+h^2+2xh)-8x^2}{h}$

                      = $\frac{8x^2+8h^2+16xh-8x^2}{h}$

                      = (8h + 16x)

                      = 8(h + 2x)