SOLUTION: 3. The following function is one-to-one. Find its inverse. Find the domain and range of f and f^-1 Please show all of your work. f(x) = 8x - 8

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 3. The following function is one-to-one. Find its inverse. Find the domain and range of f and f^-1 Please show all of your work. f(x) = 8x - 8       Log On


   



Question 469342: 3. The following function is one-to-one. Find its inverse. Find the domain and range of f and f^-1 Please show all of your work.
f(x) = 8x - 8

Answer by stanbon(75887) About Me  (Show Source):
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The following function is one-to-one. Find its inverse. Find the domain and range of f and f^-1 Please show all of your work.
f(x) = 8x - 8
Domain: All Real Numbers
Range: All Real Numbers

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Inverse:
1st: solve for "y".
y = 8x-8
2nd: Interchange x and y.
x = 8y-8
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3rd: Solve for "y":
8y = x+8
y = (1/8)x+1
Domain: All Real Numbers
Range: All Real Numbers
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Cheers,
Stan H.
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