# CAT Practice : Functions

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When do we say that two functions are identical ?

## Identical Functions

Q.12: 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

Choice D. None of these are identical

## Detailed Solution

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

Correct Answer: None of these are identical

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Functions.