JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

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Application +4 | -1

f:R \rightarrow R

and

g:R \rightarrow R

are defined by

f(x)=2x+3

and

g(x)=x^2+7

, then 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 are the x-values that satisfy the equation g{f(x)} = 8.

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

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f\left( x \right) = x - \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\}