Determine the equation of the inverse of y=1/4x^3-2

Answer

y⁻¹ = ∛ (4x+8)

Explanation

y = (1/4) x³ - 2.

To find the inverse of this equation, you first make x the subject of the formular.

y = (1/4) x³ - 2

Multiply both sides by 4;

4y = x³ - 8

Add 8 on both sides of the equation;

4y + 8 = x³

x³ = 4y + 8

Apply the cube root on both sides to get the value of x;

x = ∛ (4y+8)

The inverse of y = (1/4) x³ - 2 is;

y⁻¹ = ∛ (4x+8)