Answer:
C) All real numbers except 2 and 5
Explanation:
A rational function is a ratio (fraction) between 2 polynomials.
Domain
The domain of a function is all of the x-values that can be input into a function. So, the domain will be the x-values covered by the graph. Sometimes, domains will have gaps because some x-values are undefined. This means there will be no output when the x-value is input. Undefined points are not a part of the domain.
Rational Functions
All rational functions have a domain of all reals with the exception of when the denominator equals zero. We know that you cannot divide by zero, so if the denominator is zero, then the function is undefined. To find the points where the function is not defined, we can factor the denominator.
- (x - 2)(x - 5) = 0
This function is undefined at 2 and 5.
Thus, the domain is all reals except 2 and 5.