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