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# Find the domain of the function.

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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

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+93289
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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
+93289
+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