for the given functions f ang g find the following. For parts (a)-(d),also find the domain
*Given f(x)=1/x and (f/g)(x)=x+1/x^2-x find the function g.

Question

for the given functions f ang g find the following. For parts (a)-(d),also find the domain 
*Given f(x)=1/x and (f/g)(x)=x+1/x^2-x find the function g.

anonymous · Answer

that was close.  just upside down i think

anonymous · Answer

oops where did it go?

anonymous · Answer

haha I thought it was upside down too. g(x) = (x - 1) / (x + 1)

anonymous · Answer

ok should i rewrite the problem

myininaya · Answer

$$(f/g)(x)=\frac{x+1}{x^2-x}=\frac{x+1}{x(x-1)}=\frac{1}{x}*\frac{x+1}{x-1}$$
$$=\frac{1}{x} \div \frac{x-1}{x+1}=f \div g$$

myininaya · Answer

do you see what g is?

anonymous · Answer

domain of f, all real numbers except 0.  range all number except 0

anonymous · Answer

domain of g all numbers except -1  range all numbers except 1

anonymous · Answer

ooo ok im trying to figure it out thanks you guyz

anonymous · Answer

yw from myininaya

myininaya · Answer

yes look what i wrote is it obvious what g is?

anonymous · Answer

o duh yes lol

myininaya · Answer

go to sleep satellite