State the domain of the rational function. f(x) = seventeen divided by quantity five minus x

If we are going to write the equation in its mathematical form, we will see that it becomes,

                                        f(x) = 17/(x – 5)

The domain of the function is the number of x that would allow us to solve the equation and get a real value for f(x). In this equation, x can take any real numbers so long as it is not 5. This is because 5 – 5 in the denominator will lead to 0 which in turn makes the equation indefinite.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

y=mx+