Find the inverse of f(x)=x^3 +3
To find the inverse of a function, we need to switch the roles of x and y and then solve for y. Let's start by changing f(x) to y:
y = x^3 + 3
Next, switch the roles of x and y:
x = y^3 + 3
Now, solve for y:
x - 3 = y^3
y = (x - 3)^(1/3)
Therefore, the inverse function of f(x) = x^3 + 3 is:
f^(-1)(x) = (x - 3)^(1/3)