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

May 29, 2017

$t \ne 8$

#### 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:

$R i g h t a r r o w t - 8 \ne 0$

$\therefore t \ne 8$

Therefore, the restricted value of the variable $t$ is $8$.