Find the domain of the function.

Question

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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

+118690

+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

Melody · Answer 1 · 2014-07-13T10:10:13

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.