13 Using algebra techniques find the inverse of fx x34 4 Pl

13) Using algebra techniques, find the inverse of f(x)= (x-3)⁴ +4 . Plot both functions to demonstrate that they are inverses.

Solution

13. f(x)= (x-3)⁴+4

y=(x-3)⁴+4

switching x and y

x=(y-3)⁴+4

x-4= (y-3)⁴

y= (x-4)^1/4+3, -(x-4)^1/4+3

f\'(x)= (x-4)^1/4+3, -(x-4)^1/4+3