SOLUTION: The function f is one-to-one. Find its inverse. FIND THE DOMAIN OF THE INVERSE. Please show work:
f(x)=3x^2+5, x ≥ 0
Thank you!
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-> SOLUTION: The function f is one-to-one. Find its inverse. FIND THE DOMAIN OF THE INVERSE. Please show work:
f(x)=3x^2+5, x ≥ 0
Thank you!
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Question 961286: The function f is one-to-one. Find its inverse. FIND THE DOMAIN OF THE INVERSE. Please show work:
f(x)=3x^2+5, x ≥ 0
Thank you! Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The function f is one-to-one. Find its inverse. FIND THE DOMAIN OF THE INVERSE. Please show work:
f(x)=3x^2+5, x ≥ 0
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Interchange x and y to get:
x = 3y^2+5
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Solve for "y"::
3y^2 = 5-x
f^-1(x) = y = +/- sqrt[(5-x)/3]
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Domain of inverse ?
5-x must be >= 0
Domain:: x <= 5
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Cheers,
Stan H.
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