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) =
    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


  • Correct Answer
    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
Therefore, Answer – (d)
Answer choice (D).

Correct Answer: None of these are identical

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