Question

If f(x)=3/x+2-radical x-3 complete the following statement.
The domain for f(x) is all real number ___than or equal to 3

Answer 1

is this
\[f(x)=\frac{3}{x}+2-\sqrt{x}-3 \\ \text{ or } f(x)=\frac{3}{x+2}-\sqrt{x}-3 \\ \text{ or } f(x)=\frac{3}{x}+2-\sqrt{x-3} \\ \text{ or } f(x)=\frac{3}{x+2}-\sqrt{x-3}\]

Answer 2

think the following for any of the above:
you want the inside of the square root to be positive or 0
but you do not want to divide by 0