A funçao inversa de f, dada f(x) = x^3 - 3, para x>0
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![\displaystyle \mathsf{y=f(x)}\\\\\\\mathsf{y=x^3-3}\\\\\\\text{\underline{troque 'y' por 'x' e 'x' por 'y'}}\\\\\\\mathsf{x=y^3-3}\\\\\text{\underline{isole~ y}}\\\\\\\mathsf{y^3=x+3}\\\\\boxed{\mathsf{y= \sqrt[3]{\mathsf{x+3}} }}\qquad\qquad\Longrightarrow \qquad\text{Letra A)}](https://tex.z-dn.net/?f=%5Cdisplaystyle+%5Cmathsf%7By%3Df%28x%29%7D%5C%5C%5C%5C%5C%5C%5Cmathsf%7By%3Dx%5E3-3%7D%5C%5C%5C%5C%5C%5C%5Ctext%7B%5Cunderline%7Btroque+%27y%27+por+%27x%27+e+%27x%27+por+%27y%27%7D%7D%5C%5C%5C%5C%5C%5C%5Cmathsf%7Bx%3Dy%5E3-3%7D%5C%5C%5C%5C%5Ctext%7B%5Cunderline%7Bisole%7E+y%7D%7D%5C%5C%5C%5C%5C%5C%5Cmathsf%7By%5E3%3Dx%2B3%7D%5C%5C%5C%5C%5Cboxed%7B%5Cmathsf%7By%3D+%5Csqrt%5B3%5D%7B%5Cmathsf%7Bx%2B3%7D%7D+%7D%7D%5Cqquad%5Cqquad%5CLongrightarrow+%5Cqquad%5Ctext%7BLetra+A%29%7D "\displaystyle \mathsf{y=f(x)}\\\\\\\mathsf{y=x^3-3}\\\\\\\text{\underline{troque 'y' por 'x' e 'x' por 'y'}}\\\\\\\mathsf{x=y^3-3}\\\\\text{\underline{isole~ y}}\\\\\\\mathsf{y^3=x+3}\\\\\boxed{\mathsf{y= \sqrt[3]{\mathsf{x+3}} }}\qquad\qquad\Longrightarrow \qquad\text{Letra A)}")
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