Is g(x) = 3(x + 1)/( x − 4) continuous at...

Question

a) x = 0

b) all real numbers

c) it's domain

Answer 1

It's discontinuous only at an x value that makes the denominator =0

it's discontinuous at x=4 nowhere else

It's continuous at all x values, except x=4

Answer 2

g(0) = ?

For which values of x is g(x) meaningless?

Domain = ℜ - values determine above.