What is the domain of f(x) = 1/-x+3? note: the slash is to make a fraction.
1 Answer | Add Yours
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.
Join to answer this question
Join a community of thousands of dedicated teachers and students.Join eNotes