Let fx - -x- and gx -x2 - f x and g x are not identical -

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Byju's Answer

Standard XII

Mathematics

Domain

Let fx = |x| ...

Question

Let f(x) = |x| and g(x) = $(\sqrt{x})^{2}$ . f (x) and g (x) are not identical .

True

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False

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Solution

The correct option is A
True

For two functions to be identical or equal, both the functions should have the same range and same domain.

So we will find the range and domain of the functions given.
Domain of lx| is R and domain of $(\sqrt{x})^{2}$ positive numbers . $(\sqrt{x})^{2}$ can't take values less than zero.

$\Rightarrow$ Domain are not equal.

$\Rightarrow$ Functions are not identical .

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Let f(x) = |x| and g(x) =(√x)2 . f (x) and g (x) are not identical .

Let f(x) = |x| and g(x) = $(\sqrt{x})^{2}$ . f (x) and g (x) are not identical .