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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

If

f(x)=\frac{x}{x-1}=\frac{1}{y}

, then

f(y)=

View answer and explanation

Correct option: D

1-x

Option D (

1-x

) is correct because solving for y and then substituting into f(y) yields 1-x.

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f:(-\infty, 2] \longrightarrow(-\infty, 4]

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f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

f\left( x \right) = x - \left[ x \right]

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S=\left\{x: f(x)=f^{-1}(x)\right\}