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The equation that represents the inverse of (x − 4)2 − 32 = 6y − 12 is y = 4 ± 6x − 334, which corresponds to option b See the steps to to solve math problems with exponents and roots using order of operations. This was derived by swapping x and y, and simplifying.

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The inverse function calculator finds the inverse of the given function Solve equations with pemdas order of operations showing the work If f (x) is a given function, then the inverse of the function is calculated by interchanging the variables and expressing x as a function of y i.e

A comprehensive guide in mathematics, the functions are the system like machines that takes an input, process it according to the rule, and give an output as per the system design (output)

But sometimes, we need to work backward As given the output, we need to find the input that is produced This is where the inverse functions find application There are 2 steps to solve this one.

The inverse of the equation y = 9x2 − 4 is f −1(x) = 3x+4 This is found by swapping the variables and solving for y The solution includes both positive and negative roots, but typically the principal square root is used.