Find the domain of $$ y=\log (6+6 x) $$. The domain is: $$ xA $$ $$ x \geq A $$ $$ x \leq A $$ where $$ \mathrm{A}= \square $$

Question

UpStudy AI · Accepted Answer

To find the domain of $$ y = \log (6 + 6x) $$, we require the argument of the logarithm to be positive. That is, we need

$$
6 + 6x > 0.
$$

**Step 1:** Isolate $$ x $$.

Subtract 6 from both sides:

$$
6x > -6.
$$

Divide both sides by 6 (since 6 is positive, the inequality direction remains unchanged):

$$
x > -1.
$$

Thus, the domain of the function is all values of $$ x $$ such that $$ x > -1 $$.

**Final Answer:**

The domain is given by the condition $$ x > A $$ with

$$
A = -1.
$$
The domain is $$ x > -1 $$.

Find the domain of .
The domain is:

where