Identical Functions

Calculus Level 2

Examine whether f ( x ) = ln ⁡ ( x 2 ) f(x) = \ln(x^{2}) and g ( x ) = 2 ln ⁡ ( x ) g(x) = 2 \ln(x) are identical or not.

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Bibhor Singh by Bibhor Singh , 18, India

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1 solution

Bibhor Singh
Mar 25, 2018

Identical functions are those whose domain is same. Therefore, domain of f = R - {0} but domain of g = (0,infinity) . As domain of both functions is not equal hence they are not identical functions.

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