SOLUTION: Construct and Simplify the difference quotient {{{ (f(x+h)-f(x))/h }}} for the function given by: {{{ f(x)=2x^2-x }}}

Algebra ->  Rational-functions -> SOLUTION: Construct and Simplify the difference quotient {{{ (f(x+h)-f(x))/h }}} for the function given by: {{{ f(x)=2x^2-x }}}      Log On


   

Question 287329: Construct and Simplify the difference quotient +%28f%28x%2Bh%29-f%28x%29%29%2Fh+
for the function given by: +f%28x%29=2x%5E2-x+
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29=2x%5E2-x+
+f%28x%2Bh%29=2%28x%2Bh%29%5E2-%28x%2Bh%29+
(Note the parentheses!. Without them it's nearly impossible to do this correctly.)
+f%28x%2Bh%29=2%28x%5E2%2B2xh+%2B+h%5E2%29-%28x-h%29+
+f%28x%2Bh%29=2x%5E2%2B4xh+%2B+2h%5E2-%28x%2Bh%29+
+f%28x%2Bh%29=2x%5E2%2B4xh+%2B+2h%5E2-x-h+

Now that we have f(x+h) we can write %28f%28x%2Bh%29+-+f%28x%29%29%2Fh: