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JEE Main20248 Apr 2024Evening ShiftMathematicsFunctionsActual

Let f(x)= array ccc - a & if & - a x 0 x+ a & if & 0 0 and g (x)=(f(x )-|f(x)|) / 2 . Then the function g:[-a, a] [-a, a] is

Options

  1. Aneither one-one nor onto.
  2. Bonto.
  3. Cboth one-one and onto.
  4. Done-one.

Correct answer

A. neither one-one nor onto.

Step-by-step solution

y=f(x) y=f|x| y=|f(x)| g(x)= f(|x|)-|f(x)| 2

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