Let {\f}, {\g}: {\R} \to {\R} be functions defined by f(x)=\\begin{array}{cc}{[x] &\end{array} , x< 0 ; {|1-x|,} , x \geq 0. and g(x)=\\begin{array}{cc}{e^x-x &\end{array}, x< 0 ; {(x-1)^2-1 ,} , x \geq 0. where [ {\x}] denote the greatest integer less than or equal to x. Then, the function fog is discontinuous at exactly : [28-Jun-2022-Shift-2]

Limits, Continuity and Differentiability Part 2

Section: Mathematics

Question : 36 of 100

Marks: +1, -0

Let f,g:R→R be functions defined by
f(x)={

[x],	x<0
\|1−x\|,	‌‌x≥0.

and
g(x)={

ex−x,	x<0
(x−1)2−1,	‌‌x≥0.

where [x] denote the greatest integer less than or equal to x. Then, the function fog is discontinuous at exactly :

[28-Jun-2022-Shift-2]

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[g(x)],	g(x)<0
\|1−g(x)\|,	g(x)≥0