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

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

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inverse of f(x)=(sqrt(2x+4))/3

inverse

f (x) = \frac{2 x + 4}{3}

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

Solution steps

y = \frac{2 x + 4}{3}

Replace

x

with

y

x = \frac{2 y + 4}{3}

Solve for

y, x = \frac{2 y + 4}{3}

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

x e [\frac{1}{x}]

y = 1 - \frac{x}{10}

x^{3} + 9 x

\frac{3 x}{9 - x ^{2}}

f (x) = 5 x^{5} - 3 x + 1

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