What is the inverse of f(x)=sqrt(1-2x)+2 ?

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

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inverse of f(x)=sqrt(1-2x)+2

inverse

f (x) = 1 - 2 x + 2

- \frac{x ^{2} - 4 x + 3}{2}

Solution steps

y = 1 - 2 x + 2

Replace

x

with

y

x = 1 - 2 y + 2

Solve for

y, x = 1 - 2 y + 2

- \frac{x ^{2} - 4 x + 3}{2}

f (x) = \frac{- 3 x + 8}{6 + x}

y = \frac{7 x - 1}{3 x + 2}

5 x - 25

5 x - 12

tan (- 1 (0.57))

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