What is the inverse of f(x)=\sqrt[4]{(2x+4)/3} ?

The inverse of f(x)=\sqrt[4]{(2x+4)/3} is (3x^4-4)/2

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inverse of f(x)=\sqrt[4]{(2x+4)/3}

inverse

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

\frac{3 x ^{4} - 4}{2}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{3 x ^{4} - 4}{2}

f (x) = 4 x + 5 - 3

lo g_{3} ((x - 1)^{2})

y = - \frac{3}{5} x + \frac{7}{5}

\frac{2 - 3 x}{4}

f (x) = 12 - 0.5 x

What is the inverse of f(x)=\sqrt[4]{(2x+4)/3} ?
The inverse of f(x)=\sqrt[4]{(2x+4)/3} is (3x^4-4)/2