Question

Using the rational expression below, identify the restriction to the domain.
*
2 points
7x/5x+7
-7
-5
-7/5
0

Answer 1

To identify the restrictions on the domain of the rational expression \( \frac{7x}{5x + 7} \), we need to find the values of \( x \) that make the denominator equal to zero, since division by zero is undefined.

Set the denominator equal to zero:

\[ 5x + 7 = 0 \]

Now, solve for \( x \):

\[ 5x = -7 \]
\[ x = -\frac{7}{5} \]

Thus, the restriction to the domain is \( x = -\frac{7}{5} \).

In the options given, the answer is:

- **-7/5**