Answer:
The inverse is ((5-x)/4) ^ 1/3
Explanation:
y = 5-4x^3
Exchange x and y
x = 5-4y^3
Subtract 5 from each side
x-5 =5-5-4y^3
x-5 = -4y^3
Divide each side by -4
(x-5)/ -4 = y^3
Take the cube root
((x-5)/ -4) ^ 1/3 = y^ 3 ^1/3
((5-x)/4) ^ 1/3 = y
The inverse is ((5-x)/4) ^ 1/3