Question

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

Answer 1

BASICALLY THE FIRST PERSON IS SAYING THE ANSWER IS B) all real values of x except x= 5

EDGE 2021

Answer 2

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

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)=(f(x))/(g(x))`

substitute

`(f/g)(x)=(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