SOLUTION: Find the domain and range of the function and the inverse ? a, base3logx^2-4

Question 1078182: Find the domain and range of the function and the inverse ?
a, base3logx^2-4
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the domain and range of the function and the inverse ?
a, base3logx^2-4
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Question:: Do you mean y = log3[x^2-4]
If so,
Domain:: ?
Solve x^2-4 > 0
x^2 > 4
Domain:: All Real Numbers where x < -2 or x > 2.
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Range: All Real Numbers
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Inverse::
1st:: Interchange x and y to get
x = log3(y^2-4)
2nd:: Solve for "y"::
y^2-4 = 3^x
y^2 = 3^x+4
y = +/-sqrt(3^x + 4)
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Cheers,
Stan H.
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