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The function y=(2x-1)/(x-2),(xne 2)...

The function `y=(2x-1)/(x-2),(xne 2)`

A

is its own inverse

B

decreases at all values of x in the domain

C

has a graph intirely above the x axis

D

is unbounded

Text Solution

Verified by Experts

The correct Answer is:
1,2,4
`y=(2x-1)/(x-2)`
`(dy)/(dx)=(2(x-2)-(2x-1))/(x-2)^(2)=(-3)/(2)^(2)lt0 forall x ne 2 `
`y=(2x-1)/(x-2) or x=(2y-1)/(y-2)`
`therefore f^(-1)(x)=(2x-1)/(x-2)`
Thus f(X) is its own inverse
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