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CAT 1994 — QA Question 37

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

fog(x) is equal to

Answer & solution

  • A

    1

  • gof(x)

  • C

    15x+916x-5

  • D

    1x

Solution

Let g(x) = x-32 be y. So, fog(x) = f(y) = 2y + 3.
Substituting y = x-32, we get

fog(x) = (x – 3) + 3 = x = [(2x+3)-3]2 = gof(x) 

CAT 1994 QA Q37: fog(x) is equal to — Solution | TheCATExam