JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

Let the function

f,\;g,\;h

are defined from the set of real numbers R to R such that

f\left( x \right) = {x^2} - 1,\;g\left( x \right) = \sqrt {\left( {{x^2} + 1} \right)}

and

h\left( x \right) = \left\{ {\begin{array}{cccccccccccccccccccc} {0,\;if\;x < 0}\\ {x,\;if\;x \ge 0} \end{array}} \right.,

then

ho\left( {fog} \right)\left( x \right)

is defined by

View answer and explanation

Correct option: B

{x^2}

Option B (

x^2

) is correct because the composition of the functions simplifies to

x^2

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