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babunello [35]
3 years ago
6

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

Mathematics
1 answer:
GarryVolchara [31]3 years ago
3 0
f(x)=\dfrac3{x+2}-\sqrt{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 \sqrt{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.
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