Q96 / 180 · KCET 2019 · Mathematics

\( f: R \rightarrow R \) and \( g:[0, \infty) \rightarrow R \) is defined by \( f(x)=x^{2} \) and \( g(x)=\sqrt{x} \). Which one of the following is
not true?

  • Correct answer
    A
    fo \( g(-4)=4 \)
  • B
    g of \( (-2)=2 \)
  • C
    \( g \circ f(4)=4 \)
  • D
    fo \( g(2)=2 \)

Solution

(A)
\( f(x)=x^{2} g(x)=\sqrt{x} \)
fo \( g(-4)=f[g(-4)] \) is not defined

Hence, the correct answer is option: 'A'.

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