Answer:
The inverse is
f^-1(x) = (1/√2)x^¼
And it is a function
Step-by-step explanation:
Given f(x) = 4x^4
Let y = f(x), so that
y = 4x^4
Then dividing both sides by 4
x^4 = y/4
Taking the fourth root of both sides
x = (y/4)^¼
x = (1/√2)y^¼ = f^-1(y)
Put y = x
y = (1/√2)x^¼ = f^-1(x)
This is the inverse.
f^-1(x) is a function.
