What is the domain of f(x) = 1/-x+3? note: the slash is to make a fraction.

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Domain of `f(x) = 1/(-x + 3)`

The domain of a function is all the valuesthat can go into the function. Because our "input - x" is in the denominator, we can replace x with any number other than a value that will make the denominator equal to zero.

Division by zer is undefined, therefore `-x + 3!= 0`

So we need to find the value for which it will make the denominator zero and that will help us to define the domain.

`-x + 3 = 0` Solve for x. Subtract 3 from each side.

`-x = -3` Divide each side by -1.

`x = 3`

Therefore our domain is **all real numbers except 3**.

**So,** `{x|x!=3}`

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