A) 2
B) -2
C) 1
D) -1
Correct Answer: D
Solution :
[d] Given that, \[f(x)=[x]\]and \[g(x)=\left| x \right|\] Now, \[f\left( g\left( \frac{8}{5} \right) \right)=g\left( \frac{8}{5} \right)=\left[ \frac{8}{5} \right]=1\] And \[g\left( f\left( -\frac{8}{5} \right) \right)=g\left( \left[ -\frac{8}{5} \right] \right)=g(-2)=\left| -2 \right|=2\] \[\therefore f\left( g\left( \frac{8}{5} \right) \right)-g\left( f\left( -\frac{8}{5} \right) \right)=1-2=-1.\]You need to login to perform this action.
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