# How do you simplify and find the restrictions for #(2x^2-4x )/(3x)#?

See a solution process below:

First, we can rewrite this expression as:

Where

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To simplify the expression (2x^2-4x)/(3x), we can factor out the common term of x from the numerator. This gives us x(2x-4)/(3x).

Next, we can simplify further by canceling out the common factor of x in the numerator and denominator. This leaves us with (2x-4)/3.

To find the restrictions, we need to identify any values of x that would make the denominator equal to zero. In this case, the denominator is 3x, so the restriction is x ≠ 0.

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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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