Final answer:
The only solution to r(x) = (x-3)/(x+5) is x = 3.
Step-by-step explanation:
In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the codomain), where each input is related to exactly one output. The term "function" is used to describe a special kind of relation that satisfies this one-to-one correspondence.
The function r is given by r(x)=(x-3)/(x+5). To find the solutions to r(x), we set the function equal to zero and solve for x.
r(x) = 0
(x-3)/(x+5) = 0
x - 3 = 0
x = 3
So, the only solution to r(x) is x = 3.