Question

Help with domain question please

Answer 1

Find the domain algebraically of the following functions. State the domain in set and interval notation.

f(x) = 5 + (square root of 3x - 6)

g(x) = (x-1) / (square root of x - 9)

g(x) = (x - 1) / (x^2 - 9)

Answer 2

assumption is they're real valued functions

Answer 3

so, two things :-
1) the thing inside sqrt cannot be negative
2) thing bottom thing cannot be 0

Answer 4

What are all the possible x guys that you can stick into this equation?
but be careful the bad x is what makes the denominator 0

Answer 5

*the bottom cannot be 0