SOLUTION: Determine the domain for: g(x) log7(x^2+12x+27)

Question 759930: Determine the domain for: g(x) log7(x^2+12x+27)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Determine the domain for: g(x)= log7(x^2+12x+27)
-------
Solve x^2+12x+27 > 0
---------
Factor:
(x+3)(x+9) > 0
------
Draw and number line and plot x = -9 and x = -3
------
Find the intervals that satisfy the inequality:
(x+3)(x+9) > 0
Test x = -10 ; -*- > 0 ;;True
---------
Test x = -5 ; -*+ > 0 ;; False
---------
Test: x = 0 ; +*+ > 0 ;; True
-----
Domain: (-oo,-9)U(-3,+oo)
===============================
Cheers,
Stan H.
RELATED QUESTIONS
Hi, i have to find the domain here : g(x) = log7(2/3x -1) thanks for your... (answered by josmiceli)

log7 X + log7 (x-6)=log7... (answered by edjones)

Determine the domain of: G(x) = (x^5-5) / (x^4 + 12x^3 + 60x^2 + 50x - 125) (answered by Edwin McCravy)

Log7^2=x... (answered by josgarithmetic)

I don't understand functions, I really need help. 17.) Let f(x)= 5x and g(x)=-2x-3.... (answered by josgarithmetic)

3.14 Given f(x)=x-4 and g(x)=4x^2, find f+g, f-g, fg, and f/g. Determine the domain... (answered by ikleyn)

x^2-12x+27 (answered by london maths tutor)

Given f(x)=3x+2 and g(x)= -2x+1 a) write an equation for (f+g)(x) b) determine (f+g)(6) (answered by josgarithmetic)

Determine the domain and the range of the function f(x) = x^2 - 12x +... (answered by rcmcc)