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 3 years ago
HELP. Assume g^1(10) is a one to one function. If g(x) = x^2+10x with x greater than or equal to 5, find g^1 (10).
 3 years ago
HELP. Assume g^1(10) is a one to one function. If g(x) = x^2+10x with x greater than or equal to 5, find g^1 (10).

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abtrehearn
 3 years ago
Best ResponseYou've already chosen the best response.0If we solve the equation\[x = y^{2} + 10y\]for y, we get the inverse of g. Completing the square:\[y^{2} + 10y + 25 = x + 25\]\[y + 5 = \sqrt{x + 25}\]\[y = g^{1}(x) = 5 + \sqrt{x + 25}\]\[g^{1}(10) = 5 + \sqrt{35}\approx.916\]
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