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Which graph shows the inverse of the function f (x) = x^3?

Which graph shows the inverse of the function f (x) = x^3?-example-1
User Imbryk
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\text{The given function is f(x)=}x^3\text{.}


\text{Let f(x)=y.}
y=x^3

Taking cube root on both sides, we get


\sqrt[3]{y}=x
R\text{eplace x=}f^(-1)(y)\text{ since we taken y=f(x)}


f^(-1)(y)=\sqrt[3]{y}
\text{ Replace x=y, we get }f^(-1)(x)=\sqrt[3]{x}\text{ is the }inverse\text{ function of f(x)=}x^3\text{.}

The given two graphs are parabolic graphs. Those are not the inverse of the given function.


\text{The graph of the function is }f^(-1)(x)=\sqrt[3]{x}\text{ is}

Hence this is the required graph.

Which graph shows the inverse of the function f (x) = x^3?-example-1
User Hasentopf
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