What is the invariant? (((**MATH**))) 10 PTS. read!! :)?

Question

Determine the inverse functions for the functions below. Begin by switching varaiables in the original function, then solving for the 'new' y. For each case sketch the function and its inverse.

Have no idea what this is or what to do. Please explain how u found answer. 10 Points! :)

3. y= (2/3)x - 4

What is the invariant?

Answer 1

Y = (2/3)X -4

Swap x ang y

X = (2/3)Y - 4

Y = (X+4)(3/2)

Y = (3/2)X + 4

I know o gotts about no invariant

Answer 2

Do what it says.  First, switch x and y:

x = (2/3) y - 4

Then, solve for the new y:

x = (2/3) y - 4

x + 4 = (2/3) y

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

You'll have to do the graphs yourself.