Respuesta :
Answer:
[tex]f^{-1} (x)[/tex]=[tex]\frac{4}{1+x}[/tex]
Step-by-step explanation:
The first step is to switch y for x and x for y so the equation will look like
x=[tex]\frac{4-y}{y}[/tex]
the next thing you do is isolate y so you have to multiply y to both sides to get
[tex]xy=4-y[/tex] now you got to add y to both sides which would get you
xy+y=4
since xy and y share a y value you have to try and factor out y which would get you
y(x+1)=4
the final step is to divide x+1 on both sides
y[tex]\frac{(x+1)}{x+1}[/tex]=[tex]\frac{4}{x+1}[/tex]
which since x+1 and x+1 crosses each other out we are left with
y=[tex]\frac{4}{1+x}[/tex]
Well if you do -4 on both sides you should get your answer, and you can do x on both sides but divide the number you get for y
