To find the inverse of a function, we need to switch the x and y variables and solve for y. Let's start by switching x and y in the given function:
x = y^2
Now, let's solve for y by taking the square root of both sides of the equation:
√x = √(y^2)
Since we're looking for the inverse function, we want to isolate y:
y = ±√x
Therefore, the inverse of the function f(x) = x^2 is f^(-1)(x) = ±√x. The plus or minus sign indicates that there are two possible inverses, depending on the input x.
I hope this helps! Let me know if you have any further questions bf