A) 2
B) \[-2\]
C) 1
D) 0
E) \[-1\]
Correct Answer: E
Solution :
Given that,\[f(x)=[x]\]and \[g(x)=|x|\] Now, \[f\left( g\left( \frac{8}{5} \right) \right)=f\left( \frac{8}{5} \right)=\left[ \frac{8}{5} \right]=1\] and \[g\left( f\left( -\frac{8}{5} \right) \right)=g\left( \left[ -\frac{8}{5} \right] \right)\] \[=g(-2)=|-2|=2\] \[\therefore \] \[f\left( g\left( \frac{8}{5} \right) \right)-g\left( \left[ -\frac{8}{5} \right] \right)=1-2=-1\]You need to login to perform this action.
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