SOLUTION: Find the domain of the logarithmic function. f(x)= log(x+2)/(x-4) how do I approach this?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Find the domain of the logarithmic function. f(x)= log(x+2)/(x-4) how do I approach this?      Log On


   

Question 1100331: Find the domain of the logarithmic function.
f(x)= log(x+2)/(x-4)
how do I approach this?
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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I read it as   %28log%28%28x%2B2%29%29%29%2F%28x-4%29,  literally as it is written.

If you mean something different then . . . USE PARENTHESE PROPERLY, SYSTEMATICALLY AND CORRECTLY when you post formulas to this forum.
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The two conditions must be satisfied


(1)  x + 2 > 0,   and

(2)  x =/= 4,


saying that the argument under the logarithm function must be positive and the denominator can not be zero.


From (1) you have  x > -2.


So, your answer is this set  (-2,4) U (4,infinity).

Solved.