Given the following function determine the difference quotient

Question

f(x+h)-f(x)/h

f(x)=x²-6x+2

Answer 1

f(x) = x^2 -6x +2

f(x+h) = (x+h)^2 -6(x+h) +2 = x^2 +2hx + h^2 -6x -6h +2

f(x+h) - f(x) = x^2+2hx+h^2-6x-6h+2 -(x^2-6x+2) = 2hx +h^2-6h

[(x+h)-f(x)]/h = 2x +h -6