What is the inverse of f(x)=2sqrt(0.5x+1)+2 ?

The inverse of f(x)=2sqrt(0.5x+1)+2 is (x(x-4))/2

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inverse of f(x)=2sqrt(0.5x+1)+2

inverse

f (x) = 2 0.5 x + 1 + 2

\frac{x ( x - 4 )}{2}

Solution steps

y = 2 0.5 x + 1 + 2

Replace

x

with

y

x = 2 0.5 y + 1 + 2

Solve for

y, x = 2 0.5 y + 1 + 2

\frac{x ( x - 4 )}{2}

x + 10 - x

\frac{3 e ^{x} + 1}{9 e ^{x} - 1}

f (x) = \frac{50 x + 1000}{x}

f (x) = \frac{1 - 3 ^{2 x}}{9 ^{x} - 3}

What is the inverse of f(x)=2sqrt(0.5x+1)+2 ?
The inverse of f(x)=2sqrt(0.5x+1)+2 is (x(x-4))/2