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

The inverse of f(x)=3sqrt((-x+3)/2) is -(2x^2-27)/9

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inverse of f(x)=3sqrt((-x+3)/2)

inverse

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

- \frac{2 x ^{2} - 27}{9}

Solution steps

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

Replace

x

with

y

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

Solve for

y, x = 3 \frac{- y + 3}{2}

- \frac{2 x ^{2} - 27}{9}

4 x (6 - x)

\frac{7}{10 - 9 x}

f (x) = 5 e^{x - 2}

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

f (x) = - x + 5 - 2

What is the inverse of f(x)=3sqrt((-x+3)/2) ?
The inverse of f(x)=3sqrt((-x+3)/2) is -(2x^2-27)/9