Final answer:
To solve r(x)=(x-1)³, set the function equal to zero and find the values of x that satisfy the equation. So, the solution to the original function r(x)=(x-1)³ is x = 1.
Step-by-step explanation:
The given function is r(x)=(x-1)³. To solve this function, we need to set it equal to zero and find the values of x that satisfy the equation. Here are the steps:
- Set r(x) equal to zero: (x-1)³ = 0.
- Apply the cube root to both sides to eliminate the cube: x-1 = 0.
- Add 1 to both sides to isolate x: x = 1.