The inverse of function y = x² / 5 is y = √5x.
given that the function is y = x² / 5
A function that can reverse into another function is known as an inverse function or anti function. A function takes in values, applies specific operations to them, and produces an output. In order to find y when x is swapped with another variable, we must first determine the inverse function. On the other hand, the inverse function and the original function likewise have interchangeable domains and ranges.
[tex]x = \frac{ {y}^{2} }{5} \\ 5x = {y}^{2} \\ y = \sqrt{5x} [/tex]
Hence, the inverse of function y = x² / 5 is y = √5x.
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