The inverse function of f(x) will be f⁻¹(x) = 1/8(x - 4)³.
A statement, principle, or policy that creates the link between two variables is known as a function.
Functions are found all across mathematics and are required for the creation of complex relationships.
The function f(x) is given below.
f(x) = ∛(8x) + 4
Then the inverse function of f(x) will be
Put x = f⁻¹(x) and f(x) = x. Then we have
x = ∛{8f⁻¹(x)} + 4
∛{8f⁻¹(x)} = x - 4
Cube on both sides, then we have
8f⁻¹(x) = (x - 4)³
f⁻¹(x) = 1/8(x - 4)³
Question
f(x) = ∛(8x) + 4 To determine the inverse of function f, change f(x) to y, switch and solve for and y, The resulting function can be written as f^-1(x) = ___(x-___ )^3.