Functions Question 537
Question: Let [x] denote the greatest integer $ \le x. $ If $ f(x)=[x] $ and $ g(x)=| x |, $ then the value of $ f( g( \frac{8}{5} ) )-g( f( -\frac{8}{5} ) ) $ is
Options:
A) 2
B) -2
C) 1
D) -1
Show Answer
Answer:
Correct Answer: D
Solution:
[d] Given that, $ f(x)=[x] $ and $ g(x)=| x | $ Now, $ f( g( \frac{8}{5} ) )=g( \frac{8}{5} )=[ \frac{8}{5} ]=1 $ And $ g( f( -\frac{8}{5} ) )=g( [ -\frac{8}{5} ] )=g(-2)=| -2 |=2 $
$ \therefore f( g( \frac{8}{5} ) )-g( f( -\frac{8}{5} ) )=1-2=-1. $
BETA
