JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

f:R \to R

be a mapping defined by

f\left( x \right) = {x^3} + 5,

then

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

is equal to

View answer and explanation

Correct option: B

{\left( {x - 5} \right)^{1/3}}

The correct answer is B (

(x - 5)^{1/3}

) because it is the inverse function obtained by solving for x in terms of y and then swapping x and y.

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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]

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

f: R \rightarrow R

f(x)=x^4

f(x)=(x+1)^2-1(x \geq-1)

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