Question

determine the domain for each of the following functions. State if the function is continuous or discontinuous and where any holes or asymptotes occur.
1. f(x)=2x + 6
2. g(x)=1/x
3. p(x)=(5x+6)/(x^2 + 2)

Answer 1

1. any real number
2. any real number such that x does not equal 0
3.any real number

Answer 2

only the second has an asymptote at x = 0

Answer 3

How should i solve it? Can you please explain.. :D