Find the difference quotient and simplify your answer

Question

f(x) = x2 − 2x + 7,  f(8 + h) − f(8)

h

, h ≠ 0

Answer 1

f(x) = x^2 -2x + 7

f(8) = 64-16+7= 55

f(8+h) = (8+h)^2 -2(8+h) + 7 = 64 +16h + h^2 -16 +2h + 7 = h^2+14h +55

f(8+h)-f(8) = h^2 +14h

[f(8+h) - f(x)]/h = h+14