Question

for the function f, construct and simplify the difference quiotent f(x+h)-f(x)
------
h
f(x)=x/4-x

Answer 1

omgg im learning this... what college do you go too?

Answer 2

\[\frac{ f(x+h)-f(x) }{ h }\]

Answer 3

I assume that is \[f(x)=\frac{x}{4-x}\]

Answer 4

valencia, and yes that is

Answer 5

ok, so replace \(x\) with \(x+h\) in \(f(x)\), what do you get?

Answer 6

\[\frac{ x+h }{ 4-x+h }\]

Answer 7

not quite. \[4-(x+h)=\]

Answer 8

\[4(-x-h)\]

Answer 9

\[4-(x+h)=4-x-h\]right?

Answer 10

yes!

Answer 11

ok, so \[f(x+h)=\frac{x+h}{4-x-h}\]

\[f(x)=\frac{x}{4-x}\]

\[\frac{f(x+h)-f(x)}{h}=\]

Answer 12

some tedious but straightforward algebra to do...

Answer 13

so i need to get rid of the "h" by multiplying ?

Answer 14

no, you need to make a common denominator so you can add the two fractions, then divide the mess by h

Answer 15

Valencia?
Ooo nice :) I'm over at UCF.