Question

if f(x)=3/x+2-√x-3. my last three classes are math and I'm dislexic I need help I'm reading things wrong

Answer 1

`f(x)=\frac3{x+2}-√(x-3)`

Two immediate observations:

(1) Clearly, we can't have
`x=-2`, since that would make both the rational and the square root terms undefined.

(2) If
`x` is real, then
`\sqrt x` only exists if
`x\ge0`. This means that for
`√(x-3)` to exist, we require
`x-3\ge0\implies x\ge3`.

If
`x\ge3`, then we don't have to worry about
`x` ever taking on a value of -2.