Question

Are these two functions inverses of each other?

How would you solve for one of these?

f(n)=2(n-2)³

g(n)=4+cube root of 4n divided by 2

Answer 1

1)

Let


To find in invese INTERCHANGE THE VARIABLES


Divide both sides by 2


Taking cube roon on both sides-



Add 2 both sides

So now here

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2)
(if function u wanted to solve is not this, please comment it below, as it means many ways when function is in words)
Let


To find in invese INTERCHANGE THE VARIABLES


Subtract 4 from both sides


Multiply both sides by 2



Take cube on both sides



As we know -



Divide both sides by 4


Taking 2 common on RHS


So now here