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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Find the range of

f(x)=\operatorname{sgn}\left(x^{2}-2 x+3\right)

.

View answer and explanation

Correct option: B

\{1\}

Option B (

\{1\}

) is correct because the expression

x^2 - 2x + 3

is always positive, so its sign is always 1.

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

f(x)=x(4-x)

f^{-1}(x)

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g(f(x))=|\sin x|

f(g(x))=(\sin \sqrt{x})^2

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

, Choose the correct answer. Which of the following functions are odd functions Let

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

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