JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Let

\left[ x \right]

denote the greatest integer

\le x

. If

f\left( x \right) = \left[ x \right]\;and\;g\left( x \right) = \left| x \right|

, then the value of

f\left( {g\left( {\frac{8}{5}} \right)} \right) - g\left( {f\left( { - \frac{8}{5}} \right)} \right)

View answer and explanation

Correct option: D

-1

Option D (-1) is correct because it is the result of evaluating the functions f(x) and g(x) at the specified points and then subtracting the results.

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

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f(x)=x^4

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