What is the inverse of f(x)=6x+5/x ?

The inverse of f(x)=6x+5/x is (x+sqrt(x^2-120))/(12),(x-sqrt(x^2-120))/(12)

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inverse of f(x)=6x+5/x

inverse

f (x) = 6 x + \frac{5}{x}

\frac{x + x ^{2} - 120}{12}, \frac{x - x ^{2} - 120}{12}

Solution steps

y = 6 x + \frac{5}{x}

Replace

x

with

y

x = 6 y + \frac{5}{y}

Solve for

y, x = 6 y + \frac{5}{y}

\frac{x + x ^{2} - 120}{12}, \frac{x - x ^{2} - 120}{12}

What is the inverse of f(x)=6x+5/x ?
The inverse of f(x)=6x+5/x is (x+sqrt(x^2-120))/(12),(x-sqrt(x^2-120))/(12)