Question

If f(x) = x^2 - 25 and g(x) = x - 5, what is the domain of (f/g)(x)

Answer 1

Answer:

The domain of the function is all real numbers except number 5

Step-by-step explanation:

we have

$f(x)=x^{2}-25$

The domain of f(x) is all real numbers

$g(x)=x-5$

The domain of g(x) is all real numbers

$(f/g)(x)=\frac{f(x)}{g(x)}$

substitute

$(f/g)(x)=\frac{x^{2}-25}{x-5}$

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