What is the inverse of f(x)=(5x)/(x^2-16) ?

The inverse of f(x)=(5x)/(x^2-16) is (5+sqrt(25+64x^2))/(2x),(5-sqrt(25+64x^2))/(2x)

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inverse of f(x)=(5x)/(x^2-16)

inverse

f (x) = \frac{5 x}{x ^{2} - 16}

\frac{5 + 25 + 64 x ^{2}}{2 x}, \frac{5 - 25 + 64 x ^{2}}{2 x}

Solution steps

y = \frac{5 x}{x ^{2} - 16}

Replace

x

with

y

x = \frac{5 y}{y ^{2} - 16}

Solve for

y, x = \frac{5 y}{y ^{2} - 16}

\frac{5 + 25 + 64 x ^{2}}{2 x}, \frac{5 - 25 + 64 x ^{2}}{2 x}

f (x) = 6 x^{5} - 3

lo g_{2} (x - 10)

\frac{4 x}{x - 8}

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

What is the inverse of f(x)=(5x)/(x^2-16) ?
The inverse of f(x)=(5x)/(x^2-16) is (5+sqrt(25+64x^2))/(2x),(5-sqrt(25+64x^2))/(2x)