CAT Quantitative Aptitude Questions | CAT Algebra - Functions questions

The question is about Identical Functions. Our task is to find out the identical functions of the given three functions. 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 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 11: Which of the following functions are identical?
f(x) = \\frac{x^3}{x^2}\\)
g(x) = (√x)²
h(x) = x

1. f(x) and g(x)
2. f(x) and h(x)
3. All 3 are identical
4. None of these are identical

Explanatory Answer

Method of solving this CAT Question from CAT Algebra - Functions: When do we say that two functions are identical ?

For functions to be identical, their domains should be equal
f(x) – x can’t be zero
g(x) – x can’t be negative
h(x) – x can take all possible values

The question is "Which of the given functions are identical?"

Hence the answer is "None of these are identical"

Choice D is the correct answer.