To make typing easier, I'm going to replace 'f(x)' with 'y':
Problem: if y = (x + 4)³ then find the inverse:
First, exchange the variables 'x' and 'y': x = (y + 4)³
Second: solve for y: x^(1/3) = y + 4
y = x^(1/3) - 4
Finally, replace y with f-1(x) ---> f-1(x) = x^(1/3) - 4
To make typing easier, I'm going to replace 'f(x)' with 'y':
Problem: if y = (x + 4)³ then find the inverse:
First, exchange the variables 'x' and 'y': x = (y + 4)³
Second: solve for y: x^(1/3) = y + 4
y = x^(1/3) - 4
Finally, replace y with f-1(x) ---> f-1(x) = x^(1/3) - 4