Find the inverse of the function.
f(x) = x3 + 8
To find the inverse of a function, follow these steps:
Step 1: Replace f(x) with y.
y = x^3 + 8
Step 2: Swap the variables x and y.
x = y^3 + 8
Step 3: Solve for y.
x - 8 = y^3
Step 4: Take the cube root of both sides of the equation.
y = ∛(x - 8)
Therefore, the inverse of the function f(x) = x^3 + 8 is f^(-1)(x) = ∛(x - 8).
Given
f(x)=x²+8
Put it as
y=x²+8
invert x and y:
x=y²+8
Solve for y:
y²=(x-8)
y=√(x-8)
If the question is f(x)=x³+8, you can proceed similarly.