What is the inverse of f(x)=x-sqrt(-x)+1,x<-4 ?

The inverse of f(x)=x-sqrt(-x)+1,x<-4 is (2x-3+sqrt(-4x+5))/2 ,(2x-3-sqrt(-4x+5))/2

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inverse of f(x)=x-sqrt(-x)+1,x<-4

inverse

f (x) = x - - x + 1, x < - 4

\frac{2 x - 3 + - 4 x + 5}{2}, \frac{2 x - 3 - - 4 x + 5}{2}

Solution steps

y = x - - x + 1

Replace

x

with

y

x = y - - y + 1

Solve for

y, x = y - - y + 1

\frac{2 x - 3 + - 4 x + 5}{2}, \frac{2 x - 3 - - 4 x + 5}{2}

f (x) = \frac{x + 7}{x - 2}

f (x) = - \frac{3}{4} x + \frac{17}{4}

sec (2 x - 3 π)

f (x) = - (x + 4)^{2} - 7

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

What is the inverse of f(x)=x-sqrt(-x)+1,x<-4 ?
The inverse of f(x)=x-sqrt(-x)+1,x<-4 is (2x-3+sqrt(-4x+5))/2 ,(2x-3-sqrt(-4x+5))/2