Question

Find the formula for df^-1/dx. f(x)=(7-x)^3

Answer 1

Here is the equation to solve the problem above:

f(x) = (7-x)^3
y = (7-x)^3

switch y and x
 x = (7 - y)^3
 
third root of x = 7 - y
-y = 3rootx - 7
 
so:f′(x)=3^√x−7