Question

What is the inverse of this equation???
f(x)= 2/3x -5

Explain the process to me.

Answer 1

First I'll explain the simplest way to find the inverse.
Simplest explanation:
For the inverse, switch the y and x.
Then rearrange so that it is in the form y = ........
That will be the equation of f inverse.
Let f(x) = y
So you have y = 2/3 x - 5
re-write it as x = 2/3 y - 5 Now make y by itself.
x + 5 = 2/3 y so y = (3/2)x + 15/2
The equation of the graph of the inverse of f(x) is called f^(-1)(x).
f^(-1)(x) = (3/2)x + 15/2