Answer:
The domain of the function is all real numbers except number 5
Step-by-step explanation:
we have
[tex]f(x)=x^{2}-25[/tex]
The domain of f(x) is all real numbers
[tex]g(x)=x-5[/tex]
The domain of g(x) is all real numbers
[tex](f/g)(x)=\frac{f(x)}{g(x)}[/tex]
substitute
[tex](f/g)(x)=\frac{x^{2}-25}{x-5}[/tex]
Remember that
The denominator cannot be zero
For x=5 the denominator is equal to zero
therefore
The domain of the function is all real numbers except number 5
