JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

The domain of the function

f(x)=\frac{x|x-3|}{\left(x^2-x-6\right)|x|}, x \in \mathbb{R}

View answer and explanation

Correct option: D

\mathbb{R}-\{-2,0,3\}

Option D (

\mathbb{R}-\{-2,0,3\}

) is correct because the function is undefined when the denominator is zero, which occurs at x = -2, 0, and 3.

More Questions from FUNCTIONS

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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\}