It is the same function?

Algebra Level 2

Is f ( x ) f(x) the same as g ( x ) g(x) ?

f ( x ) = x 2 x f(x) = \dfrac{x^2}{x}

g ( x ) = x g(x) = x

Yes No I don't know

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Heder Oliveira Dias by Heder Oliveira Dias , 38, Brazil

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1 solution

f(x) not is the same as g(x) since f(0) = 0/0 and it doesn't exist, g(0)=0. Thus the domain of f is different of domain g. Then f doesn't the same function as g. The domain of f is Real out zero, the domain of g is all Real number.

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The domain should be specified. If the domain was the positive or negative reals, these functions are equal.

Joel Tan - 6 years, 1 month ago

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But this implies that it is for all x x .

Chew-Seong Cheong - 6 years, 1 month ago

Yes, I used the same logic.

Chew-Seong Cheong - 6 years, 1 month ago

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