SOLUTION: simplify the expression {(f(x+h) - f(x)}/h, h not equal to 0 for f(x) = x squared -2x + 1 {{{f(x)=x^2-2x+1}}}

Algebra ->  Functions -> SOLUTION: simplify the expression {(f(x+h) - f(x)}/h, h not equal to 0 for f(x) = x squared -2x + 1 {{{f(x)=x^2-2x+1}}}      Log On


   

Question 768509: simplify the expression {(f(x+h) - f(x)}/h, h not equal to 0 for
f(x) = x squared -2x + 1
f%28x%29=x%5E2-2x%2B1
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E2-2x%2B1

Substitute into the requested expression, the difference quotient.

%28%28%28x%2Bh%29%5E2-2%28x%2Bh%29%2B1%29-%28x%5E2-2x%2B1%29%29%2Fh
%28%28x%5E2%2B2xh%2Bh%5E2-2x-2h%2B1%29-%28x%5E2-2x%2B1%29%29%2Fh
%28x%5E2%2B2xh%2Bh%5E2-2x-2h%2B1-x%5E2%2B2x-1%29%2Fh
%282xh%2Bh%5E2-2h%29%2Fh
highlight%282x%2Bh-2%29