What is the inverse of f(x)=0.5+(5/(0.2x)) ?

The inverse of f(x)=0.5+(5/(0.2x)) is (25)/(x-0.5)

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inverse of f(x)=0.5+(5/(0.2x))

inverse

f (x) = 0.5 + (\frac{5}{0.2 x})

\frac{25}{x - 0.5}

Solution steps

y = 0.5 + \frac{5}{0.2 x}

Replace

x

with

y

x = 0.5 + \frac{5}{0.2 y}

Solve for

y, x = 0.5 + \frac{5}{0.2 y}

\frac{25}{x - 0.5}

2^{x - 2}

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

\frac{3}{4 x + 3}

f (x) = 12 x - 150

f (x) = 9 - 2 x^{3}

What is the inverse of f(x)=0.5+(5/(0.2x)) ?
The inverse of f(x)=0.5+(5/(0.2x)) is (25)/(x-0.5)