Posted by **Bonnie** on Monday, June 22, 2009 at 6:32pm.

Please Find the difference quotient

f(x+h)-fx/h for f(x)= 4x-9 and simplify

- Algebra -
**bobpursley**, Monday, June 22, 2009 at 8:20pm
put x+h in f(x) to get 4x+4h-9

then subtract 4x+9 then divide by h

- Algebra -
**Bonnie**, Monday, June 22, 2009 at 8:24pm
This is what I got, is it correct? Thanks!

4x+4h-9+ (-4x+9)/h

4x-4x= 4h-9+9/h

= 4h/h

=4

- Algebra -
**MathMate**, Monday, June 22, 2009 at 9:14pm
Your answer is correct, but it is preferable to place parentheses where they are needed to avoid ambiguity, for example:

(4x+4h-9+ (-4x+9))/h

(4x-4x + 4h-9+9)/h

= 4h/h

=4

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