The domain of the function f ( x ) = ∣ x ∣ − x 1 is

∣ x ∣ − x 1 ⇒ ∣ x ∣ − x > 0 ⇒ ∣ x ∣ > x ⇒ x is negative x ∈ ( − ∞ , 0 )

Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsDomain-RangeMedium2 minPYQ_2011

MathematicsMediumsingle choice

The domain of the function $f (x) = \frac{1}{∣ x ∣ - x}$ is

Answer:

Solution:

$\frac{1}{∣ x ∣ - x} \Rightarrow ∣ x ∣ - x > 0 \Rightarrow ∣ x ∣ > x \Rightarrow x$ is negative $x \in (- \infty, 0)$

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Domain-Range

⏱ 2mℹ️ Source: PYQ_2011

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