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

The inverse of f(x)=3sqrt(x)+2 is (x^2)/9-(4x)/9+4/9

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

inverse

f (x) = 3 x + 2

\frac{x ^{2}}{9} - \frac{4 x}{9} + \frac{4}{9}

Solution steps

y = 3 x + 2

Replace

x

with

y

x = 3 y + 2

Solve for

y, x = 3 y + 2

\frac{x ^{2}}{9} - \frac{4 x}{9} + \frac{4}{9}

f (x) = 3 x + 4

\frac{1}{5} x

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

f (x) = \frac{6}{5} x + 2

\frac{x + 6}{x + 8}

What is the inverse of f(x)=3sqrt(x)+2 ?
The inverse of f(x)=3sqrt(x)+2 is (x^2)/9-(4x)/9+4/9