Question

How to solve the equation

Answer 1

x = -26

Explanation:

`(f-g)(x)=(4)/(x-3)-(3)/(x+5)=(3)/(x^2 +2x-15) \\ \\ (4(x+5)-3(x-3))/(x^2 +2x-15) \\ \\ =(4x+20-3x+9)/(x^2 +2x-15)=(3)/(x^2 +2x-15) \\ \\ (x+29)/(x^2 +2x-15)=(3)/(x^2+2x-15) \\ \\ x+29=3 \\ \\ x=-26`

This is in the domain of the equation, and is thus a solution.