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

The inverse of f(x)=1-2sqrt(2x+5) is (x^2-2x-19)/8

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

inverse

f (x) = 1 - 2 2 x + 5

\frac{x ^{2} - 2 x - 19}{8}

Solution steps

y = 1 - 2 2 x + 5

Replace

x

with

y

x = 1 - 2 2 y + 5

Solve for

y, x = 1 - 2 2 y + 5

\frac{x ^{2} - 2 x - 19}{8}

f (x) = lo g_{5} (x - 3)

t

h (x) = \frac{9 x + 6}{6 x}

\frac{2 x - 1}{x - 3}

M

What is the inverse of f(x)=1-2sqrt(2x+5) ?
The inverse of f(x)=1-2sqrt(2x+5) is (x^2-2x-19)/8