##### Find and simplify the different quotient f(x+h)-f(x) / h f(x)=-x^2+5x+5 f(x+h)-f(x) / h =????

 Algebra Tutor: None Selected Time limit: 1 Day

Find and simplify the different quotient f(x+h)-f(x) / h

f(x)=-x^2+5x+5

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

Jun 6th, 2015

Thank you for the opportunity to help you with your question!

$f(x)=-x^2+5x+5\\ \\ f(x+h)=-(x+h)^2+5(x+h)+5\\ \\ f(x+h)=-(x^2+2xh+h^2)+5x+5h+5\\ \\ f(x+h)=-x^2-2xh-h^2+5x+5h+5\\ \\ f(x+h)-f(x)=-x^2-2xh-h^2+5x+5h+5-(-x^2+5x+5)\\ \\ f(x+h)-f(x)=-x^2-2xh-h^2+5x+5h+5+x^2-5x-5\\ \\ f(x+h)-f(x)=-2xh-h^2+5h\\ \\$

Difference quotient is

$\frac{f(x+h)-f(x)}{h}=\frac{-2xh-h^2+5h}{h}\\ \\ \frac{f(x+h)-f(x)}{h}=\frac{h(-2x-h+5)}{h}\\ \\ \frac{f(x+h)-f(x)}{h}=-2x-h+5\\$

-------------------------------------------------------------

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 6th, 2015

...
Jun 6th, 2015
...
Jun 6th, 2015
May 22nd, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle