f ( x ) = 1 x and g ( x ) = 1 x then - Vidyadip

MCQ

$f\left( x \right) = \frac{1}{x}$ and $g\left( x \right) = \frac{1}{{\sqrt x }}$ then

A
$f(g(x))$ and $g(f(x))$ have different domain
✓
$f(g(x))$ and $g(f(x))$ have same domain
C
$(gof)(x) : R^+ \rightarrow R$ is a bijective mapping
D
None of these

✓

Answer

Correct option: B.

$f(g(x))$ and $g(f(x))$ have same domain

b

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