Question

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

Answer 1

`t ne 8`

Explanation:

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`.