What is the inverse of f(x)=3sqrt(x)+1 ?

The inverse of f(x)=3sqrt(x)+1 is (x^2)/9-(2x)/9+1/9

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inverse of f(x)=3sqrt(x)+1

inverse

f (x) = 3 x + 1

\frac{x ^{2}}{9} - \frac{2 x}{9} + \frac{1}{9}

Solution steps

y = 3 x + 1

Replace

x

with

y

x = 3 y + 1

Solve for

y, x = 3 y + 1

\frac{x ^{2}}{9} - \frac{2 x}{9} + \frac{1}{9}

110

f (x) = \frac{1}{3} x + 4

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

f (x) = \frac{1}{3} x - \frac{5}{3}

\frac{3 x}{x + 4}

What is the inverse of f(x)=3sqrt(x)+1 ?
The inverse of f(x)=3sqrt(x)+1 is (x^2)/9-(2x)/9+1/9