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

The inverse of f(x)=((2x))/((x+5)) is -(5x)/(x-2)

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

inverse

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

- \frac{5 x}{x - 2}

Solution steps

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

Replace

x

with

y

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

Solve for

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

- \frac{5 x}{x - 2}

2 x - 5 y - 6 = 0

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

8 (q - 13)

f (x) = 3 - 2 x - x^{2}

f (x) = - x^{3} + 7 x^{2} - 12 x

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