JEE MATHEMATICS MCQ: FUNCTIONS

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Understanding +4 | -1

f:R \to R

is defined by

f\left( x \right) = \sin x\;and\,g:\left( {1,\;\infty } \right) \to R

is defined by

g\left( x \right) = \sqrt {{x^2} - 1}

, then

gof\left( x \right)

View answer and explanation

Correct option: D

Not defined

Option D (Not defined) is correct because the range of f(x) is not a subset of the domain of g(x), so the composite function gof(x) is not defined.

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