What is the inverse of f(x)= 6/(x^2+1) ?

The inverse of f(x)= 6/(x^2+1) is sqrt((6-x)/x),-sqrt((6-x)/x)

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inverse of f(x)= 6/(x^2+1)

inverse

f (x) = \frac{6}{x ^{2} + 1}

\frac{6 - x}{x}, - \frac{6 - x}{x}

Solution steps

y = \frac{6}{x ^{2} + 1}

Replace

x

with

y

x = \frac{6}{y ^{2} + 1}

Solve for

y, x = \frac{6}{y ^{2} + 1}

\frac{6 - x}{x}, - \frac{6 - x}{x}

2 - 7 x

- 4

f (x) = 6 - 2 x

y = - 4 x - 3 y

f (x) = \frac{1}{4} (x + 2)^{2} - 9

What is the inverse of f(x)= 6/(x^2+1) ?
The inverse of f(x)= 6/(x^2+1) is sqrt((6-x)/x),-sqrt((6-x)/x)