SOLUTION: (a) Find the domain and range of the function f(x) = log(8x).
(b) Find the inverse of f(x) = log(x).
f -1(x) =
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Question 326238: (a) Find the domain and range of the function f(x) = log(8x).
(b) Find the inverse of f(x) = log(x).
f -1(x) =
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(a) Find the domain and range of the function f(x) = log(8x).
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Domain?
8x must be >0, so x must be > 0
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Domain: All real Numbers greater than zero.
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(b) Find the inverse of f(x) = log(x).
Interchange x and y to get:
x = log(y)
Solve for "y":
y = 10^x
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f -1(x) = 10^x
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Cheers,
Stan H.
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