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The function r is given by r(x)=(x-3)/(x+5). What are all the solutions to r(x)?

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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.

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