Paragraph: Let f(x)= [ ^2 ] x+ [- ^2 ] x where [.] is a greatest integer function. Question: What is f ( 2 ) equal to?

Step-by-step solution

f(x)= [ ^2 ] x+ [- ^2 ] x ^2=(3 14)^2 Hence [ ^2 ]=9 and [- ^2 ]=-10f(x)= 9 x+ (-10 x)= 9 x+ 10 xf ( 2 )= 9 2 + 10 2 = (4 + 2 )+ 5 =0