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Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsEven-oddMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

A function $f (x)$ is said to be even if $f (- x) = f (x)$ and odd if $f (- x) = - f (x)$ . Also, $f (x)$ is said to be periodic if $f (x + T) = f (x)$ for $T > 0$ , and the least positive value $T$ is called its period.

If $f (x)$ and $g (x)$ be two functions with all real numbers as their domains, then $h (x) = [f (x) + f (- x)] [g (x) - g (- x)]$ is

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Answer:

Solution:

$h (- x) = [f (- x) + f (x)] [g (- x) - g (x)] = - h (x)$

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Even-odd

⏱ 2mℹ️ Source: QB

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