JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Let

f\left( x \right) = x + 1\;and\;\phi \left( x \right) = x - 2.

. Then the values of x satisfying

\left| {f\left( x \right) + \phi \left( x \right)} \right| = \left| {f\left( x \right)} \right| + \left| {\phi \left( x \right)} \right|

are :

View answer and explanation

Correct option: B

\left[ {2,\infty } \right)

Option B ([2, ∞)) is correct because the condition |f(x) + φ(x)| = |f(x)| + |φ(x)| is satisfied when both f(x) and φ(x) are non-negative.

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