y= log3 ( 5x^2-125)
We need
to find the domain.
The domain is all x values such that
the function y is defined.
Since the function is a
logarithm, then we know that the logarithm should be greater than,
zero.
==> (5x^2-125) >
0
We will add 125 to both
sides.
==> 5x^2 >
125
==> x^2 >
25
==> l x l >
5
==> x > 5 and x <
-5
Then the domain is
:
x = ( -inf, -5) U (5,
inf)
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