SOLUTION: what is the domain of g(x) when g(x)= log base 5 of (x^2+3-18) ??

Question 543400: what is the domain of g(x) when g(x)= log base 5 of (x^2+3-18) ??
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
what is the domain of g(x) when g(x)= log base 5 of (x^2+3x-18) ??
-----
x^2+3x-18 must be positive.
-----
Factor:
(x+6)(x-3) = 0
x = -6 or x = 3
----
Now determine where (x+6)(x-3) is positive:
Answer: x > 3 or x < -6
=================
Domain: (-oo,-6)U(3,+oo)
=============================
Cheers,
Stan H.
-----------------
RELATED QUESTIONS
What is the domain of f(x)-g(x) when f(x)=x^2 and... (answered by fractalier)

what is the domain of the function g(x)=log base 4 (x-8) (answered by nerdybill)

what is the domain of... (answered by jim_thompson5910)

find (f-g)(x). What is the domain of f/g f(x)=2x-5... (answered by jim_thompson5910)

let g(x)= log(subscript 2) (x^2+x-12). find the domain of... (answered by jsmallt9)

Suppose the domain of f is (-1,3). Define the function g by g(x) = 5 - f(x) + f(5/x).... (answered by ikleyn)

Domain of Logarithmic Functions: Find the domain of each of the following log functions: (answered by stanbon)

Suppose the domain of f is (-1,3). Define the function g by g(x) = f(2/x + x/2). What... (answered by CPhill)

What is the domain of... (answered by Fombitz)