Question

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

Answer 1

B) all real values of x except x=5

Explanation:

If
`f(x)=x^2-25` and
`g(x)=x-5`, then
`\bigr((f)/(g)\bigr)(x)=(f(x))/(g(x))=(x^2-25)/(x-5)=((x-5)(x+5))/((x-5))`.

Given that
`x-5` exists in both the numerator and denominator, this creates a hole on the graph of the function where
`x=5` since
`5-5=0`all real values of x except x=5 is correct.

Review the attached graph for more information