JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

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Application +4 | -1

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

are defined by

f\left( x \right) = 2x + 3\;and\;g\left( x \right) = {x^2} + 7,

then the values of x such that

g\left( {f\left( x \right)} \right) = 8

are

View answer and explanation

Correct option: C

- 1, - 2

Option C (-1, -2) is correct because these values satisfy the equation g(f(x)) = 8.

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

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

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