1.Find the domain of the function. Make sure answer is in interval notation.

Question

g(x)=7x/x^2-4

2.Find the domain of the function. Make sure answer is in interval notation.
f(x)=5x square root of x-2

Answer 1

1. g(x) = 7x/(x^2-4)
x^2-4 = 0
x^2 = 4
X = +- 2.
Domain: -2 <X< 2.

2. F(x) = 5x*sqrt(x-2).
2 <=X< +Infinity.

Answer 2

Correction:
1. 7x/(x^2-4) = 7x/(x+2)(x-2).
When X = +-2, the denominator = 0. Therefore, +-2 are not in the domain.
Domain: All real values of X except +-2.