Q58
Let \[ g ( x ) = \ array*20c - x,& x 1\\ x + 1,& x 1 array .\] and \[ f ( x ) = \ array*20c 1 - x,& x 0\\ x^2,& x > 0 array ..\] Consider the composition of f and g i.e. (fog) (x) = f(g(x)). The number of discontinuities in (fog) (x) present in the interval (\[ - ,\] 0) is:
Let {\rm{g}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}}
{ - {\rm{x,}}}&{{\rm{x}} \le 1}\\
{{\rm{x}} + 1,}&{{\rm{x}} \ge 1}
\end{array}} \right. and {\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}}
{1 - {\rm{x,}}}&{{\rm{x}} \le 0}\\
{{{\rm{x}}^2},}&{{\rm{x}} > 0}
\end{array}} \right..
Consider the composition of f and g i.e. (fog) (x) = f(g(x)). The number of discontinuities in (fog) (x) present in the interval ( 0) is:
Consider the composition of f and g i.e. (fog) (x) = f(g(x)). The number of discontinuities in (fog) (x) present in the interval ( 0) is:
A.
0
AnswerB.
1
C.
2
D.
4
Answer: Option A
Solution
Answer: Option A
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