A) {5, 10, 15, 20}
B) {10, 15}
C) {5, 10, 15}
D) {10}
Correct Answer: C
Solution :
\[f\left( x \right)=15-|x-10|,x\in R\] \[f\left( f(x \right))=15-|f(x)-10|\] \[=15-|15-x|x-10|-10|\] \[=15-|5-|x-10||\] \[x=5,10,15\]are points of non differentiability Aliter : At \[x=10\left( x \right)\] is non differentiable also, when \[15\left| x10 \right|=10\]\[\Rightarrow x=5,15\] \[\therefore \]non differentiability points are \[\left\{ 5,10,15 \right\}\]You need to login to perform this action.
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