simplify the difference quotient

Question

For the function f given by f(x)=x^2-3, find and simplify the difference quotient  f(x-h)-f(x)/t

Answer 1

f(x) = x² - 3

f(x-h) = (x - h)² - 3

f(x-h) = x² - 2hx + h² - 3

f(x-h) - f(x) = x² - 2hx + h² - 3 - (x² - 3)

 

You can simplify.