JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

f:\left[ { - 2,\;2} \right] \to R

is defined by

f\left( x \right) = \left\{ {\begin{array}{cccccccccccccccccccc} { - 1,\;\;for - 2 \le x \le 0}\\ {x - 1,\;\;for\;0 \le x \le 2} \end{array}} \right.

Then

\left\{ {x \in \left[ { - 2,2} \right]:x \le 0\;\;\mathrm{and}\;\mathrm{\;}f\left( {\left| x \right|} \right) = x} \right\} =

View answer and explanation

Correct option: C

\left\{ { - 1/2} \right\}

Option C ({-1/2}) is correct because by substituting |x| into the function and solving for x, we find x = -1/2.

More Questions from FUNCTIONS