JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

f:R \to R\;and\;g:R \to R

are defined by

f\left( x \right) = x - 3\;and\;g\left( x \right) = {x^2} + 1

then the values of x for which

g\left\{ {f\left( x \right)} \right\} = 10

are

View answer and explanation

Correct option: D

0,6

Option D (0, 6) is correct because these values satisfy the equation g{f(x)} = 10.

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

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

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

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f(x)=x^4

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

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