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Tribhuvan university BCA BCA Curriculum Mathematics I Old Questions 2019

Mathematics I - Old Questions

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Syllabus Notes Old Questions Unit Wise Questions Question Bank

b) If functions  defined by f(x) = 2x + 1 and  defined by g(x) = x2 - 2. Find the formulae for composite functions  and also verify that  (4+1)

5 marks
Asked in 2019

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Official Answer

Given,

f(x) = 2x + 1 

g(x) = x2 - 2

Now,

fog(x) = f(g(x)) = 2(x2 - 2)+1

          = 2x2-4+1

          = 2x2-3

gof(x) = g(f(x)) = (2x+1)2-2

          = 4x2+4x-1

Hence,