# How do you find the domain of the function #g(x) = 2/3-5x#?

Domain: all the real

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To find the domain of the function ( g(x) = \frac{2}{3-5x} ), we need to identify any values of ( x ) that would make the denominator ( 3-5x ) equal to zero. Set the denominator equal to zero and solve for ( x ):

[ 3 - 5x = 0 ]

[ 5x = 3 ]

[ x = \frac{3}{5} ]

The domain of the function is all real numbers except ( x = \frac{3}{5} ). So, the domain can be expressed as:

[ \text{Domain of } g(x) = { x \in \mathbb{R} \ | \ x \neq \frac{3}{5} } ]

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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.

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.

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.

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