SOLUTION: Directions: For each function f, construct and simplify the difference quotient. {{{(f(x+h)-f(x)) / h}}} f(x)=3x-5 - I have no problem with setting up the problem, bu

Algebra ->  Functions -> SOLUTION: Directions: For each function f, construct and simplify the difference quotient. {{{(f(x+h)-f(x)) / h}}} f(x)=3x-5 - I have no problem with setting up the problem, bu      Log On


   

Question 340858: Directions: For each function f, construct and simplify the difference quotient.
%28f%28x%2Bh%29-f%28x%29%29+%2F+h
f(x)=3x-5
- I have no problem with setting up the problem, but I have the most trouble with solving with fractions.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Shouldn't be a problem here.
f%28x%29=3x-5
.
.
f%28x%2Bh%29=3%28x%2Bh%29-5
f%28x%2Bh%29=3x%2B3h-5
.
.
f%28x%2Bh%29-f%28h%29=3x%2B3h-5-3x-%28-5%29
f%28x%2Bh%29-f%28h%29=3h
Now divide both sides by h.