Answer:
The domain is [tex]x\ne13[/tex]
Step-by-step explanation:
If [tex]f(x)=x+7[/tex] and [tex]g(x)=\frac{1}{x-13}[/tex].
Then;
[tex](f\times g)(x)=f(x) \times g(x)[/tex]
This implies that;
[tex](f\times g)(x)=(x+7)\times \frac{1}{x-13}[/tex]
[tex](f\times g)(x)=\frac{x+7}{x-13}[/tex]
The domain of this function refers to all values of [tex]x[/tex] that makes the function defined.
The function is defined, when [tex]x-13\ne0[/tex]
The domain is [tex]x\ne13[/tex]
