How do you state any restrictions on the variable #(t^2-4t-32)/(t-8)#?

Answer 1

#t ne 8#

The restricted value of the variable #t# must be determined by considering the denominator of the fraction.

The denominator of a fraction cannot be equal to zero:

#Rightarrow t - 8 ne 0#
#therefore t ne 8#
Therefore, the restricted value of the variable #t# is #8#.
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Answer 2

The variable t cannot be equal to 8, as it would result in division by zero.

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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.

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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