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Is the inverse a function? f(x)=(x+5)^3 D yes no Write the inverse function in the form a . sqrt [3](bx)+c+d , where a, b , c, and d are constants . Simplify any fractions. f^-1(x)=square

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Emiliano experto · Tutor durante 3 años
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To determine if the inverse of the function is also a function, we need to check if the original function is one-to-one. A function is one-to-one if each input corresponds to a unique output and each output corresponds to a unique input.In this case, the function is one-to-one because for every value of , there is a unique value of . Therefore, the inverse of this function will also be a function.To find the inverse function, we need to solve for in terms of . Let's start by setting : Now, we need to solve for : So, the inverse function is: Therefore, the answer is:D yes