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How do you find the domain for #x/(3x-1)#?

Answer 1

Avery Alexander

The domain is #Df=R-{1/3}#

We must exclude the values that nullify the denominator hence

#3x-1=0=>x=1/3#

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Answer 2

Jace Anderson

To find the domain of the function ( \frac{x}{3x - 1} ), you need to consider the values of ( x ) that make the denominator nonzero. Therefore, the domain is all real numbers except for the value that makes the denominator zero. In this case, the denominator becomes zero when ( 3x - 1 = 0 ), so you solve for ( x ) to find the value to exclude from the domain.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.