JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Understanding +4 | -1

Let

f: R \rightarrow R

be defined as

f(x)=3 x

. Choose the correct answer.

View answer and explanation

Correct option: A

f

is one-one onto

Option A (

f

is one-one onto) is correct because the function

f(x) = 3x

is both injective (one-to-one) and surjective (onto) over the real numbers.

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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)

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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\}