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Find the domain of the function.

g( x) = log 3( x 2 −  9)
g( x) = ln( x −  x 2)
h(x) = ln x + ln( 1 − x)
f( x) = log 5( 6 −  3 x)
sally1  Jul 9, 2014

Best Answer 

 #1
avatar+92623 
+5

 

I'll just do the first one for you.

$$\\g(x) = log_3( x^2-9)\\\\
x^2-9>0\qquad \qquad \mbox{because you can only find the log of a positive number}\\\\
x^2>9\\\\
x<-3 \:\:or\:\: x>3$$

Check with a graph.

Melody  Jul 13, 2014
 #1
avatar+92623 
+5
Best Answer

 

I'll just do the first one for you.

$$\\g(x) = log_3( x^2-9)\\\\
x^2-9>0\qquad \qquad \mbox{because you can only find the log of a positive number}\\\\
x^2>9\\\\
x<-3 \:\:or\:\: x>3$$

Check with a graph.

Melody  Jul 13, 2014

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