Identify the restricted values. $$ \frac{-6 t+5}{(7 t-4)(t-9)} $$ If there is more than one restricted value, use the "and" button.

Question

UpStudy AI · Accepted Answer

The restricted values occur when the denominator is equal to zero because division by zero is undefined.

Given the expression:

$$
\frac{-6t + 5}{(7t - 4)(t - 9)}
$$

Set each factor in the denominator equal to zero and solve for $$ t $$:

1. $$ 7t - 4 = 0 $$
   $$
   7t = 4 \quad \Rightarrow \quad t = \frac{4}{7}
   $$

2. $$ t - 9 = 0 $$
   $$
   t = 9
   $$

Therefore, the restricted values are:

$$
t = \frac{4}{7} \quad \text{and} \quad t = 9
$$

**Answer:** $$ t = \dfrac{4}{7} $$ and $$ t = 9 $$
The restricted values are $$ t = \frac{4}{7} $$ and $$ t = 9 $$.

Identify the restricted values. \[ \frac{-6 t+5}{(7 t-4)(t-9)} \] If there is more than one restricted value, use the "and" button.