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1. relation and function — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths1. relation and function1 Mark
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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