Question

the inverse of f(x)=(x+1)/x

Answer 1

Answer:

inverse of f (x) =1/ (x-1)

Step-by-step explanation:

Let y=f (x) = (x+1) /x

y=1+ (1/x)

y-1=1/x

1 / (y-1) =x

f ^ (-1) (y

x) =1/ (x-1)

Answer 2

f(x)=(x+1)/x

replace f(x) with "y"

y=x+1/x

interchange the variables,

x=y+1/y

y=-1/(1-x)

replace "y" =f^-1(x)

f^-1(x)=-1/(1-x)

the inverse of given is -1/(1-x)