Express the inverse of (f o g) in terms of f^-1 and g^-1
To express the inverse of the composition of two functions, (f o g)^-1, in terms of the inverses of the individual functions, f^-1 and g^-1, you can use the following property:
If (f o g) is invertible, then (f o g)^-1 = g^-1 o f^-1.
In other words, to find the inverse of (f o g), you need to take the inverse function of g, followed by the inverse function of f. This is because the composition of two functions in reverse order gives the inverse of the original composition.
Therefore, the inverse of (f o g) can be expressed as g^-1 o f^-1.