What is the inverse of f(x)=1-2sqrt(x+5) ?

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

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inverse of f(x)=1-2sqrt(x+5)

inverse

f (x) = 1 - 2 x + 5

\frac{x ^{2} + 1}{4} - \frac{x}{2} - 5

Solution steps

y = 1 - 2 x + 5

Replace

x

with

y

x = 1 - 2 y + 5

Solve for

y, x = 1 - 2 y + 5

\frac{x ^{2} + 1}{4} - \frac{x}{2} - 5

f (x) = \frac{2 x - 1}{x ^{2} + 1}, x = 1

(x + 2)^{5}

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