Question

Find the inverse of the function y=(x-4)^3

Answer 1

Answer:

$y =\sqrt[3]{x} + 4$

Step-by-step explanation:

Here, the given function,

$y=(x-4)^3$

For finding the inverse,

Step 1 : switch x and y,

$x = (y-4)^3$

Step 2 : isolate y,

$\sqrt[3]{x}=y-4$

$\implies y =\sqrt[3]{x} + 4$

Which is the required inverse of the given function.

Answer 2

Exchange the x & y's and solve for y

x=(y-4)³

x^(1/3) = y-4

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