Let f(x)= x + 2, ,g(x)= x - 2 and h(x) = 3x for all x £ R. (R is the set of real number). Find i)f o g o h ii)h o g o f iii) f o f o f - Mumbai University > Computer Engineering > Sem 3 > Discrete Structures

Marks: 8 Marks

Year: May 2014

1. fogoh=f(h(g(x)))=f(h(x-2))=f(3(x-2))f(3x-6)=3x-6+2=3x-4
2. hogof=h(g(f(x)))=h(g(x+2))h(x+2-2)=h(x)=3x
3. fofof=f(f(f(x)))=f(f(x+2))=f(x+2+2)=f(x+4)=x+4+2=x+6