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Sunny_sXe [5.5K]
3 years ago
8

What is the inverse of the function

Mathematics
1 answer:
san4es73 [151]3 years ago
5 0

as you already know, to find the inverse expression we start off by doing a quick switcheroo on the variables, and then we solve for "y".


\bf \stackrel{h(x)}{y}=\sqrt[5]{6x-12}+1\implies \stackrel{switcheroo}{x=\sqrt[5]{6y-12}+1}\implies x-1=\sqrt[5]{6y-12} \\\\\\ (x-1)^5=6y-12\implies (x-1)^5+12=6y\implies \cfrac{(x-1)^5+12}{6}~~=~~\stackrel{f^{-1}(x)}{y}

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