Help with finding the inverse function?

Question

y = (5-x)^(1/3)

FInd the inverse function.
Enter the RHS(right-hand-side) of the function.

Answer 1

what u are doing is reflectign the line in y=x , thats what inverse means so first you have to swap y for every x in teh given equation.

x= (5-y)^(1/3)

then what you have to do is to get y on its own so that it look s like an equation

.........x^3=5-y
5-x^3 =y

Answer 2

y = f(x) = (5-x)^(1/3)
let x = g(y) = f^-1(y), the inverse function

y^3 = 5 - x
so
x = 5 - y^3

Answer 3

Ok, let's see...

- Raise each side of the equation to the third power

y^3 = 5-x

- rearranging terms,

x = 5-y^3

Good luck!

Answer 4

y = (5-x)^(1/3)
If possible, just solve for x.
ln y = 1/3 ln (5-x)
3lny = ln(5-x)
e^(3lny) = 5-x
x = 5 - e^(3lny) <-- Inverse

Answer 5

interchange x and y
y = (5-x)^(1/3)

x=(5-y)^(1/3)
x^3=5-y
y=5-x^3