What is the inverse of f(x)=2 1/((x+2))+4 ?

The inverse of f(x)=2 1/((x+2))+4 is (-2x+10)/(x-4)

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inverse of f(x)=2 1/((x+2))+4

inverse

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

\frac{- 2 x + 10}{x - 4}

Solution steps

y = 2 \cdot \frac{1}{x + 2} + 4

Replace

x

with

y

x = 2 \cdot \frac{1}{y + 2} + 4

Solve for

y, x = 2 \frac{1}{y + 2} + 4

\frac{- 2 x + 10}{x - 4}

g (x) = \frac{x}{10} + 2

f (x) = \frac{100 y - 1}{y}

f (x) = - 24 csc^{3} (2 x)

f (x) = \frac{5}{3} x + 1

y = 64 - (x + 5.5)^{2} - 2

What is the inverse of f(x)=2 1/((x+2))+4 ?
The inverse of f(x)=2 1/((x+2))+4 is (-2x+10)/(x-4)