Question

The function f(x)=(x-1)^4 is not one to one. However, if we restrict the domain to x greater than or equal to 0, we can find it's inverse. Which Graph is the graph of f^-1(x) ?

Answer 1

Option A

Explanation:

Domain should be greater than/equal to 1 for the function to be one-one.

f has vertex at (1,0)

f inverse has (0,1)

f(x) = 4

(x - 1)⁴ = 4

x = 2.414

On f: (2.414, 4)

On f inverse: (4, 2.414)