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R is the set of real number.
written 8.9 years ago by gravatar for teamques10 teamques10 ★ 70k modified 3.8 years ago by gravatar for pedsangini276 pedsangini276 • 4.8k

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

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Year: May 2014
discrete mathematics
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written 8.9 years ago by gravatar for teamques10 teamques10 ★ 70k
  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

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