What is the inverse of f(x)=x+(12)/x ?

The inverse of f(x)=x+(12)/x is (x+sqrt(x^2-48))/2 ,(x-sqrt(x^2-48))/2

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inverse of f(x)=x+(12)/x

inverse

f (x) = x + \frac{12}{x}

\frac{x + x ^{2} - 48}{2}, \frac{x - x ^{2} - 48}{2}

Solution steps

y = x + \frac{12}{x}

Replace

x

with

y

x = y + \frac{12}{y}

Solve for

y, x = y + \frac{12}{y}

\frac{x + x ^{2} - 48}{2}, \frac{x - x ^{2} - 48}{2}

f (x) = \frac{( x + 2 )}{x + 8}

- (x + 1)^{2} + 7

f (x) = d (x) = 2 x - 4

f (x) = 9 lo g_{2} (x) + 23

f (x) = \frac{2 x + 3}{5 x + 6}

What is the inverse of f(x)=x+(12)/x ?
The inverse of f(x)=x+(12)/x is (x+sqrt(x^2-48))/2 ,(x-sqrt(x^2-48))/2