Question

F(x)=x²-1 and g(x)=x-1 what is the value of (f/g)(x)

Answer 1

`f(x)=x^2-1=x^2-1^2=(x-1)(x+1);\ g(x)=x-1\\\\\left((f)/(g)\right)(x)=(x^2-1)/(x-1)=((x-1)(x+1))/(x-1)=x+1\\\\The\ domain:\ x\\eq1`


`Used:\\a^2-b^2=(a-b)(a+b)`