Determine whether the function has an inverse function.If it does, find the inverse function. G(x) = x⁷ A) $g ^ { - 1 } ( x ) = \frac { 7 } { x }$ B)g^-1(x) = -7x C) $g ^ { - 1 } ( x ) = - \frac { x } { 7 }$ D)g^-1(x) = 7x E)The inverse exists, but none of the above

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Quizplus · Accepted Answer

The function $G(x) = x^7$ is a one-to-one function, so it has an inverse. The inverse function is $g^{-1}(x) = x^{1/7}$, which is not listed among the options.

Determine Whether the Function Has an Inverse Function g−1(x)=7xg ^ { - 1 } ( x ) = \frac { 7 } { x }g−1(x)=x7​

Determine Whether the Function Has an Inverse Function $g ^ { - 1 } ( x ) = \frac { 7 } { x }$