What is the inverse of f(x)=2.5+(5000)/x ?

The inverse of f(x)=2.5+(5000)/x is (10000)/(2x-5)

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inverse of f(x)=2.5+(5000)/x

inverse

f (x) = 2.5 + \frac{5000}{x}

\frac{10000}{2 x - 5}

Solution steps

y = 2.5 + \frac{5000}{x}

Replace

x

with

y

x = 2.5 + \frac{5000}{y}

Solve for

y, x = 2.5 + \frac{5000}{y}

\frac{10000}{2 x - 5}

y = 3 x + 1

2 x^{2}

\frac{5 + 4 x}{x + 3}

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

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

What is the inverse of f(x)=2.5+(5000)/x ?
The inverse of f(x)=2.5+(5000)/x is (10000)/(2x-5)