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

Question

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

marcelie · Answer

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

anonymous · Answer

$$\frac{ f(x+h)-f(x) }{ h }$$

whpalmer4 · Answer

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

anonymous · Answer

valencia, and yes that is

whpalmer4 · Answer

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

anonymous · Answer

$$\frac{ x+h }{ 4-x+h }$$

whpalmer4 · Answer

not quite.  $$4-(x+h)=$$

anonymous · Answer

$$4(-x-h)$$

whpalmer4 · Answer

$$4-(x+h)=4-x-h$$right?

anonymous · Answer

yes!

whpalmer4 · Answer

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

whpalmer4 · Answer

some tedious but straightforward algebra to do...

anonymous · Answer

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

whpalmer4 · Answer

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

zepdrix · Answer

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