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find the inverse of f(x)=2x^(2)+7

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Answer to a math question find the inverse of f(x)=2x^(2)+7

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Sigrid

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Given function : f(x)=2x^2+7 Let the function be equal to y : y=2x^2+7 Now, to find the inverse of the function, find the function for x in terms of y. y-7=2x^2

x^2=\frac{y-7}{2}

x=\sqrt{\frac{y-7}{2}} Hence, the inverse of the function is : f^{-1}(x)=\sqrt{\frac{x-7}{2}}

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