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AveGali [126]
2 years ago
6

Find the inverse of each function.

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
3 0

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

\stackrel{f(x)}{y}=\sqrt{x}-5\implies \stackrel{\textit{quick switcheroo}}{x=\sqrt{y}-5}\implies x+5=\sqrt{y} \implies (x+5)^2=y \\\\\\ \stackrel{F~O~I~L}{(x+5)(x+5)}=y\implies x^2+10x+25=\stackrel{f^{-1}(x)}{y}

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Answer:

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Step-by-step explanation:

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Test:

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