What is the inverse of f(x)=(464)/(x^2)+0.5 ?

The inverse of f(x)=(464)/(x^2)+0.5 is (4sqrt(58)sqrt(2x-1))/(2x-1),-(4sqrt(58)sqrt(2x-1))/(2x-1)

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inverse of f(x)=(464)/(x^2)+0.5

inverse

f (x) = \frac{464}{x ^{2}} + 0.5

\frac{4 58 2 x - 1}{2 x - 1}, - \frac{4 58 2 x - 1}{2 x - 1}

Solution steps

y = \frac{464}{x ^{2}} + 0.5

Replace

x

with

y

x = \frac{464}{y ^{2}} + 0.5

Solve for

y, x = \frac{464}{y ^{2}} + 0.5

\frac{4 58 2 x - 1}{2 x - 1}, - \frac{4 58 2 x - 1}{2 x - 1}

f (x) = \frac{4}{3 x - 1}

f (x) = \frac{x + 8}{1 - 2 x}

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

x + 1 - 8

f (x) = \frac{( x + 4 )}{( x + 14 )}

What is the inverse of f(x)=(464)/(x^2)+0.5 ?
The inverse of f(x)=(464)/(x^2)+0.5 is (4sqrt(58)sqrt(2x-1))/(2x-1),-(4sqrt(58)sqrt(2x-1))/(2x-1)