A) \[f(g(S))\ne f(S)\]
B) \[f(g(S))=S\]
C) \[g(f(S))=g(S)\]
D) \[g(f(S))\ne (S)\]
Correct Answer: C
Solution :
\[g\left( S \right)=\left[ 2,2 \right]\] So, \[f\left( g\left( S \right) \right)=\left[ 0,4 \right]=S\] And \[f(S)=[0,16]\Rightarrow f(g(S))\ne f(S)\] Also, \[g(f(S))=[-4,4]\ne g(S)\] So,\[g(f(S)\ne S\]You need to login to perform this action.
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