SOLUTION: Find the inverse of the function f(x) = 4x^3 - 2 and graph f and f^(-1) on the same pair of axis

Algebra ->  College  -> Linear Algebra -> SOLUTION: Find the inverse of the function f(x) = 4x^3 - 2 and graph f and f^(-1) on the same pair of axis      Log On


   

Question 4527: Find the inverse of the function f(x) = 4x^3 - 2 and graph f and f^(-1) on the same pair of axis
Answer by pushpaharan(47) About Me  (Show Source):
You can put this solution on YOUR website!
to find the inverse change x->y and y->x
y= 4x^3 - 2 will change into
x=4y^3-2
4y^3 = x+2
y^3 =(x+2)/4
y = ((x+2)/4) ^ (1/3)
otherwise follow reverse order of order of operation
y= 4x^3 - 2 here first exponent by 3 -> multiply by 4 -> subtact 4
to find inverse
first add by 4 -> divide by 4 -> exponet by 1/3
graphing you have to do it.. i cannot explain here