## anonymous one year ago 5/x-3 Find the domain of the function Please help me and explain why?

1. UnkleRhaukus

The function is:$f(x) = \frac5{x-3}$ The domain of the function, is all the values of $$x$$, that will make $$f(x)$$ be equal to some number

2. UnkleRhaukus

There is one value of $$x$$, that will make this $$f(x)$$ — not equal to a number

3. UnkleRhaukus

this is when the denominator of the fraction is equal to zero, (because we cannot divide by 0) So, to find the value of $$x$$, that is not in the domain of the function: set the denominator to zero, i.e. $$x-3 = 0$$, and solve for $$x$$

4. UnkleRhaukus

The domain of the function will be all values of $$x$$, other than this value