It is direct variation if x/y is a constant.
x/y = 2 / -6.6 = -1/3.3
y/x = -9.9/3 = -3.3
y/x = -6.6/ 2 = -3.3
y/x = -13.2/ 3 = -3.3
y/x = -16.2/ 3 = -3.24
So its not exactly direct variation as the last values is slightly different from the first 3.
<u>Answer</u>
y⁻¹ = ∛(4x+8)
<u>Explanation</u>
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)
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