SOLUTION: Find the inverse of the function g(x)=5^(3x+1) - 6, and state it's domain and range.

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Question 825781: Find the inverse of the function g(x)=5^(3x+1) - 6, and state it's domain and range.
Answer by stanbon(75887) About Me  (Show Source):
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Find the inverse of the function g(x)=5^(3x+1) - 6, and state it's domain and range.
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1st: Interchange x and y to get:
x = 5^(3y+1) - 6
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2nd: Solve for "y":
5^(3y+1) = x+6
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(3y+1)*log(5) = log(x+6)
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3y+1 = log5(x+6)
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y = (1/3)[log5(x+6)-1]
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Cheers,
Stan H.
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