How do you simplify and list the restrictions for #h (x)= (7  x) /( 3x  21)#?
Refer to explanation
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To simplify and list the restrictions for the function h(x) = (7  x) / (3x  21), we can follow these steps:

Simplify the expression: h(x) = (7  x) / (3x  21) Simplify the numerator: 7  x Simplify the denominator: 3x  21 Simplify further: 7  x / 3(x  7)

List the restrictions: To find the restrictions, we need to identify any values of x that would make the denominator equal to zero, as division by zero is undefined. Set the denominator equal to zero and solve for x: 3x  21 = 0 3x = 21 x = 7
Therefore, the restriction for h(x) is x ≠ 7.
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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