Functions Question 224

Question: If f be the greatest integer function and g be the modulus function, then $ (gof)( -\frac{5}{3} )-(fog)( -\frac{5}{3} )= $

Options:

A) 1

B) ?1

C) 2

D) 4

Show Answer

Answer:

Correct Answer: A

Solution:

Given $ (gof)( \frac{-5}{3} )-(fog),( \frac{-5}{3} ) $ $ =g,{ f( \frac{-5}{3} ) }-f{ g( \frac{-5}{3} ) }=g(-2)-f( \frac{5}{3} )=2-1=1 $ .