Find the inverse of g(x)=(x+7)^3+4

Question

Help me !

Answer 1

To find the inverse, do the following:

 

1. Change the function notation ( "g(x)" ) to y:

y=(x+7)^3+4

 

2. Switch x and y:

x = (y+7)^3+4

 

3. Solve for y:

x - 4 = (y+7)^3

(x - 4)^1/3 = y + 7

(x - 4)^1/3 - 7 = y

y = (x - 4)^1/3 - 7

 

4. Change y back to inverse function notation:

g^-1(x) = (x - 4)^1/3 - 7