What is the inverse of y=f(x)= 6/(5+x^2) ?

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

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inverse of y=f(x)= 6/(5+x^2)

inverse

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

\frac{6 - 5 x}{x}, - \frac{6 - 5 x}{x}

Solution steps

y = \frac{6}{5 + x ^{2}}

Replace

x

with

y

x = \frac{6}{5 + y ^{2}}

Solve for

y, x = \frac{6}{5 + y ^{2}}

\frac{6 - 5 x}{x}, - \frac{6 - 5 x}{x}

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