JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Analyzing +4 | -1

Foe real

x

, let

f\left( x \right) = {x^3} + 5x + 1

, then

View answer and explanation

Correct option: C

f

is one-one and onto

R

Option C (

f

is one-one and onto

R

) is correct because the function is strictly increasing and continuous over the real numbers.

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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\}