Question

Simplify the expression

Answer 1

f(x) = x - 6

g(x) = x - 5

Explanation:

`(x^2-8x+12)/(x^2-7x+10)\\\\x^2-7x+10\\e0\ \iff\ x=(7\pm√(49-40))/(2)\\e0\ \iff\ x\\e5\ \wedge\ x\\e2\\\\\\(x^2-8x+12)/(x^2-7x+10)=(x^2-2x-6x+12)/(x^2-2x-5x+10)=(x(x-2)-6(x-2))/(x(x-2)-5(x-2))=\\\\\\ =((x-2)(x-6))/((x-2)(x-5))=(x-6)/(x-5)\\\\\\f(x)=x-6\\\\g(x)=x-5`