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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

if f(x)=3/x+2-√x-3. my last three classes are math and I'm dislexic I need help I-example-1
User Edsioufi
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1 Answer

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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.
User Sachin G S
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