What is the inverse of f(x)=(4/3)pix^3 ?

The inverse of f(x)=(4/3)pix^3 is cube root of (3x)/(4pi)

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inverse of f(x)=(4/3)pix^3

inverse

f (x) = (\frac{4}{3}) π x^{3}

3 \frac{3 x}{4 π}

Solution steps

y = \frac{4}{3} π x^{3}

Replace

x

with

y

x = \frac{4}{3} π y^{3}

Solve for

y, x = \frac{4}{3} π y^{3}

3 \frac{3 x}{4 π}

f (x) = - 1.17 x + 1340

y = 9 x^{3} + 6

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

f (x) = 0.004 x^{3}

(x + 2)^{3} + 2

What is the inverse of f(x)=(4/3)pix^3 ?
The inverse of f(x)=(4/3)pix^3 is cube root of (3x)/(4pi)