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

The inverse of f(x)=sqrt(1-2x)+4 is -(x^2-8x+15)/2

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inverse of f(x)=sqrt(1-2x)+4

inverse

f (x) = 1 - 2 x + 4

- \frac{x ^{2} - 8 x + 15}{2}

Solution steps

y = 1 - 2 x + 4

Replace

x

with

y

x = 1 - 2 y + 4

Solve for

y, x = 1 - 2 y + 4

- \frac{x ^{2} - 8 x + 15}{2}

\frac{x}{8 x - 3}

f (x) = \frac{3 - 2}{x - 5}

f (x) = (\frac{4 x}{x + 8})

f (x) = \frac{( 3 )}{( x ^{3} + 2 )}

What is the inverse of f(x)=sqrt(1-2x)+4 ?
The inverse of f(x)=sqrt(1-2x)+4 is -(x^2-8x+15)/2