1 answer

How do you determine the equation for the inverse of the function #y=2/3x^5#?

Question:

How do you determine the equation for the inverse of the function #y=2/3x^5#?

Answers

#color(blue)(y = root(5)((3x)/2)#

Explanation:

We ca find the inverse of a function by swapping the #x# and #y# variables and isolating #y# again.

#x = 2/3y^5#

Divide both sides by #2/3#

#(3x)/2 = y^5#

Take the fifth root of both sides

#color(blue)(y = root(5)((3x)/2)#

.

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