Question

Find the difference quotient of f(x)=x^2-x+4

Answer 1

\[f(x)=x ^{2}-x+4\]

\[(x+h)^{2}-(x+h)+4-x ^{2}-x+4 \div h\]

Answer 2

brackets are your friend.

it is ....+ 4 - (x^2 - x +4) all over h

which is ... + 4 - x^2 + x - 4

a lot of the terms ends up cancelling out