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If f(x)=2x+1/x Find f^-1(x)
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If f(x)=2x+1/x Find f^-1(x)

User Narsereg
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1 Answer

3 votes

Answer:

• Let f(x) be m


m = (2x + 1)/(x) \\ \\ mx = 2x + 1 \\ \\ mx - 2x = 1 \\ \\ x(m - 2) = 1 \\ \\ x = (1)/(m - 2)

Therefore:


{ \boxed{ {f}^( - 1) (x) = (1)/(x - 2) }} \\

User Nyx
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