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

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) (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
RELATED QUESTIONS
Given : f(x)=2x^2+2 1. Find the domain of f(x). 2. Find the range of... (answered by josgarithmetic)

4. Given the function f(x)=8x-x^3, x>_ 0 a) Sketch the graph of f (use a solid line,... (answered by Edwin McCravy,Alan3354)

Given the function f(x)=8-x^3, x>_0 (line goes under >) a) Sketch the graph of f (use a... (answered by MathLover1,Boreal)

given f(x)=2x^2+2 find the domain, range, and inverse of f(x) and f^-1(x) Graph both (answered by Fombitz)

Suppose the function f(x)=2^(x+1). (a) Draw the graph of f(x)=2^(x+1) for... (answered by Fombitz)

3.26 For the function f(x)=4x-5 determine whether f(x) is one-to-one. If so, find a... (answered by Theo)

f(x)= -2x^2+4x+1 Find the vertex and axis of symmetry of the graph of the... (answered by funmath)

Find the inverse function for y=f(x)=4x-5 Graph f and its... (answered by lwsshak3)

Find the inverse function for y=f(x)=4x-5 Graph f and its... (answered by htmentor)