I need some help with this pls

Question

algebraically find the inverse for this function

Can someone break this down for me please

Answer 1

Hi Emily!

In order to find the inverse of a function, algebraically, you have to interchange the variables x and y in the function.

this reads to be

y= (2x-4)/3 : Interchange the x and y variables

x = (2y-4) / 3 : solve for the variable y

Multiply 3 on both sides to get rid of the 3 in the denominator

3x = 2y-4

Add 4 to both sides of the equation

3x+4 = 2y

Divide by two on both side

(3x+4)/2 = y FINAL ANSWER

If you need additional help, feel free to contact me.

Nathania

Answer 2

swaps x and y:

x = (2y-4)/3

3x = 2y - 4

(3x+4)/2 = y