What is the inverse of f(x)= 5/(4+x^2) ?

The inverse of f(x)= 5/(4+x^2) is sqrt((5-4x)/x),-sqrt((5-4x)/x)

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inverse of f(x)= 5/(4+x^2)

inverse

f (x) = \frac{5}{4 + x ^{2}}

\frac{5 - 4 x}{x}, - \frac{5 - 4 x}{x}

Solution steps

y = \frac{5}{4 + x ^{2}}

Replace

x

with

y

x = \frac{5}{4 + y ^{2}}

Solve for

y, x = \frac{5}{4 + y ^{2}}

\frac{5 - 4 x}{x}, - \frac{5 - 4 x}{x}

What is the inverse of f(x)= 5/(4+x^2) ?
The inverse of f(x)= 5/(4+x^2) is sqrt((5-4x)/x),-sqrt((5-4x)/x)