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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

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Understanding +4 | -1

Domain of function

f(x)=\sin ^{-1} 5 x

is

View answer and explanation

Correct option: B

\left[-\frac{1}{5}, \frac{1}{5}\right]

Option B (

\left[-\frac{{1}}{{5}}, \frac{{1}}{{5}}\right]

) is correct because the domain of

\sin^{-1}(x)

is [-1, 1], so

-1 \le 5x \le 1

.

More Questions from FUNCTIONS

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

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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\}