state the domain of f(x) = (x+3)/(x-1)

2 answers

anything goes except x cannot be 1, or else we are dividing by zero

so domain: set of real numbers, x not equal to 1
let hx and h be real numbers.
If f(x) =4x +3, which of the following is true and why:
1.f(x+h)=4x+3+h
2.f(x+h)=4x+4h+3
3.f(x+h)=4x+4h+6