Let f, {\g}: {\R} \rightarrow {\R} be defined as : f( {\x})=| {\x}-1| and {\g}( {\x})={\\begin{array}{c}{\e\end{array}^{ {\x}}, , {\x} \geq 0 ; {\x}+1, , {\x} \leq 0}.. Then the function f( {\g}( {\x})) is [5 Apr 2024 Shift 2]

Correct Answer is : neither one-one nor onto.

JEE Main 5 Apr 2024 Shift 2 Solved Paper

Section: Mathematics

Question : 11 of 90

Marks: +1, -0

Let f,g:R⟶R be defined as :f(x)=|x−1| and g(x)={

ex	‌	x≥0
x+1	‌	x≤0

.. Then the function f(g(x)) is

[5 Apr 2024 Shift 2]

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ex−1	x≥0
−x	x≤0