Hello,

• Is there a simple way to find the domain for the real solutions of f(x)?

• And is there a way to let maple get the part of f(x) with the sqrt?

(not by typing it by hand as I dit below)

• Is there a way to write the summary of the found domains in one line?

Thanks for your help.

restart:

# How to find the Domain for real solutions for x?

f(x):=(x-1+sqrt(x^2-3*x+2))/(x-1);

discont_for_x=discont(f(x),x);

# x<>+1 (because the de denom=0 is not allowed)

denom(f(x))=0;

x={solve(denom(f(x))=0,x)};

# x<=1 union 2<=x (because the part under the sqrt must be >=0 to give Real solutions)

sqrt(x^2-3*x+2);

0<=x^2-3*x+2;

x=solve(0<=x^2-3*x+2,x);