What is the inverse of f(x)= 27/8 x^3+2 ?

The inverse of f(x)= 27/8 x^3+2 is (2\sqrt[3]{x-2})/3

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inverse of f(x)= 27/8 x^3+2

inverse

f (x) = \frac{27}{8} x^{3} + 2

Solution steps

y = \frac{27}{8} x^{3} + 2

Replace

x

with

y

x = \frac{27}{8} y^{3} + 2

Solve for

y, x = \frac{27}{8} y^{3} + 2

f (x) = \frac{3}{2} x - \frac{9}{2}

1 - x - x^{2}

(- 1, 2), (1, 8)

f (x) = 3 x^{2} - 5 x - 2 = 0

2 x + y = 5 (0.1)

What is the inverse of f(x)= 27/8 x^3+2 ?
The inverse of f(x)= 27/8 x^3+2 is (2\sqrt[3]{x-2})/3