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Quantitative Aptitude

Functions

If f x = x 2 ...

Question

If f(x) = $x^{2}$ and g(x) = $l o g_{e}$ x, then f(x) + g(x) will be

A

Even function

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B

Odd function

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C

Both

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D

Neither (a) nor (b)

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Solution

The correct option is D Neither (a) nor (b)
$(x^{2} + l o g_{e} x)$ would be neither odd nor even since it obeys neither of the rules for even function (f(x) = f(-x)) nor for odd functions (f(x) = -f (-x)).

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