CAT 1994 — QA Question 39
Composite FunctionsEasy
Passage / Data
Answer the next 4 questions based on the information given below:
If f (x) = 2x + 3 and g(x) = then
What is the value of (gofofogogof)(x) × (fogofog)(x)?
Answer & solution
- A
x
x2
- C
- D
Solution
From Question 87, fog(x) = gof (x) = x, you will realise that if you were to form a chain of these functions for even number of times, you would still end up getting x.
For eg. fogofog(x) = fog(x) = x. Since both the brackets have the functions repeated for even number of times, each of their value will be x and their product will be x2.