Question

(x-6)/)(x+5) inverse function?

Answer 1

\[y=\frac{x-6}{x+5}\] like that?

Answer 2

switch x and y because that is what the inverse does, get
\[x=\frac{y-6}{y+5}\] and solve for \(y\) with a bunch of algebra

Answer 3

given f(x)=(x-6)/(x+5), i have to find f^-1(x)=

Answer 4

start by clearing the fraction to get
\[x(y+5)=y-6\]\[xy+5x=y-6\] then put everything with a \(y\) in it on one side, everything else on the other and get
\[y-xy=5x+6\]

Answer 5

factor on the left to get
\[(1-x)y=5x+6\] then divide and get
\[y=\frac{5x+6}{1-x}\]

Answer 6

that one is your inverse

Answer 7

I see now!! thanks.

Answer 8

yw