Domains of functions

F(x)=x2-7x and g(x)=5-x2
Domain of (fg)(x) is. .. . .
Domain of (f/g)(x). ..

Result

a = (Correct answer is: R) Wrong answer
b = (Correct answer is: R - { x1,x2 }) Wrong answer

Solution:

a=R
 g(x)<>0 5−x2=0  5−x2=0 −x2+5=0 x2−5=0  a=1;b=0;c=−5 D=b2−4ac=02−4⋅1⋅(−5)=20 D>0  x1,2=−b±D2a=±202=±252 x1,2=±5=±2.2360679775 x1=5=2.2360679775 x2=−5=−2.2360679775   Factored form of the equation:  (x−2.2360679775)(x+2.2360679775)=0 b=R−{x1,x2}

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