Question

can someone tell me step by step how to solve:
f(x)= 2/x
g(x)=(x+1)/x
express the inverse function g-1 in the form g-1(x)

Answer 1

step 1) replace g(x) with "y". Then you get "y" as a function of "x"
step 2) rearrange the equation and solve for "x" as a function of "y"
step 3) replace "x" with \(g^{-1}(x)\) and "y" with "x"
That is the answer,

Answer 2

yh i know the proccess of finding a general inverse function but this one i cant seem to be able to get the y to be the subject again

Answer 3

\[
y=\frac{x+1}{x}=1+{1\over x}
\]
how about now?

Answer 4

no sorry

Answer 5

\[y=1+{1\over x}\]

Answer 6

subtract "1" from both sides

Answer 7

so what would the final answer be?

Answer 8

1/(x-1)?

Answer 9

good job

Answer 10

thanks

Answer 11

yw