Answer:
Option c.
Step-by-step explanation:
Given,
f(x) = y = 3x^6
To find f^-1(x), we just need to replace y with x, and x with y
x = 3*y^6
Now we solve for y
f(x)^-1 = y = ±(x/3)^(1/6)
To quickly see if it is a function, we can plot it using an graphing calculator or any plotting tool.
Please see attached picture.
By looking at the plot, we can tell f(x)^-1 is not a function, because for a single value of x, there are two corresponding values of y
Correct answer:
Option C.
