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The function f(x)=(2x-1)/(x-2)(xne2) is ...

The function `f(x)=(2x-1)/(x-2)(xne2)` is such that

A

it is inverse of itself

B

decreases in `(-infty,2)` and `(2,infty)`

C

it has a graph entirely above x-axis

D

`underset(xto0^(+))(lim)f(e^(x^(-1))=2`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
`f(x)=2+(3)/(x-2)` is bijective
`f^(-1)(x)=2+(3)/(x-2)`
`underset(xto0)(lim)f(e^((1)/(x)))=2`
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