What is the inverse of f(x)=(50)/((x+1)^2)+4 ?

The inverse of f(x)=(50)/((x+1)^2)+4 is (5sqrt(2)sqrt(x-4))/(x-4)-1,-(5sqrt(2)sqrt(x-4))/(x-4)-1

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inverse of f(x)=(50)/((x+1)^2)+4

inverse

f (x) = \frac{50}{( x + 1 ) ^{2}} + 4

\frac{5 2 x - 4}{x - 4} - 1, - \frac{5 2 x - 4}{x - 4} - 1

Solution steps

y = \frac{50}{( x + 1 ) ^{2}} + 4

Replace

x

with

y

x = \frac{50}{( y + 1 ) ^{2}} + 4

Solve for

y, x = \frac{50}{( y + 1 ) ^{2}} + 4

\frac{5 2 x - 4}{x - 4} - 1, - \frac{5 2 x - 4}{x - 4} - 1

- 4 x - 16

4^{- x}

\frac{- 1}{s + 2}

- x - 6

f (x) = 1 + sin^{2} (x - \frac{π}{2})

What is the inverse of f(x)=(50)/((x+1)^2)+4 ?
The inverse of f(x)=(50)/((x+1)^2)+4 is (5sqrt(2)sqrt(x-4))/(x-4)-1,-(5sqrt(2)sqrt(x-4))/(x-4)-1