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CAT 1994 — QA Question 40

Composite FunctionsEasy
Passage / Data

Answer the next 4 questions based on the information given below:

If f (x) = 2x + 3 and g(x) =  x-32, then

What is the value of fo(fog)o(gof)(x)?

Answer & solution

  • A

    x

  • B

    x2

  • 2x + 3

  • D

    x+34x-5

Solution

From question 87, gof(x) = fog(x) = x.
fo(fog)o(gof)(x) = fo(fog)(x) = f(x) = 2x + 3.

CAT 1994 QA Q40: What is the value of fo(fog)o(gof)(x)? — Solution | TheCATExam