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Solve 32 and graph MAKE SURE TO ACCOUNT FOR INEQUALITY

Solve 32 and graph MAKE SURE TO ACCOUNT FOR INEQUALITY-example-1
User Arrie
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Given


f(x)=x^2+4\text{ for x}\ge0

The inverse is


\begin{gathered} f(x)=x^2+4 \\ replace\text{ f\lparen x\rparen with y} \\ y=x^2+4 \\ interchange\text{ x and y} \\ x=y^2+4 \\ solve\text{ for y} \\ y^2=x-4 \\ y=√(x-4) \\ f^(-1)(x)=\text{ }√(x-4) \end{gathered}


√(x-4)

Solution

Solve 32 and graph MAKE SURE TO ACCOUNT FOR INEQUALITY-example-1
User Rahmat
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