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Let f(x) be the greatest integer functio...

Let f(x) be the greatest integer function and g(x) be the modulus function.
What is `(f^(@)f)(-(9)/(5))-(g^(@)g)(-2)` equal to?

A

`-1`

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
`f(x)to` greatest integer function
f(x)=[x]
`g(x)to` modulus function
g(x)=|x|
`fof(x)=f(f(x))=f([x])`
`fof(-(9)/(5))=f(-2)" ":'[-(9)/(5)]=-2`
`=[-2]=-2`
`gog(x)=g(|x|)`
`=||x||`
`=|x|`
`gog(-2)=|-2|=2`
`(fof)(-(9)/(5))+gog(-2)=-2+2=0`
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