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

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jackpoos | eNotes Newbie

Posted September 4, 2013 at 11:42 PM via web

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

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baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted September 4, 2013 at 11:48 PM (Answer #1)

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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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