CAT Quantitative Aptitude Questions | CAT Algebra - Functions questions

The question is about Function of a function. We need to find out the value of function of a function at x = 9. Functions is a simple topic which involves a lot of basic ideas. Make sure that you a get of hold of them by solving these questions. A range of CAT questions can be asked based on this simple concept of Functions questions in the CAT Exam. Make sure you practice a lot of questions in CAT Functions Algebra Algebra to push your CAT preparation in the right direction. Functions as an idea is a fabulous idea if one can wrap their head around it the right way, and it has been one of the staple ideas tested by the CAT exam historically.

Question 12: The value of f∘g∘h(9) could be, if
f(x) = \\frac{1}{x}\\)
g(x) = \\frac{1}{(x-2)}\\)
h(x) = √x

1. 3
2. \\frac{1}{3}\\)
3. -5
4. None of these

Explanatory Answer

Method of solving this CAT Question from CAT Algebra - Functions: What is fogoh ?

fogoh(9) means f(g(h(9)))
Start by solving h(9) = √9 = 3 and not (3, -3) as square root of a number is always positive.
Taking the value to be 3, g(3) = \\frac{1}{(3-2)}\\) = 1 => f(1) = 1

The question is "What is value of f∘g∘h(9) could be?"

Hence the answer is "None of these are identical"

Choice D is the correct answer.