Question

First of what is the inverse of FX = 2x - 3

Answer 1

Answer:
`f^(-1)(x)=(x+3)/(2)`

Explanation:

The inverse of an equation is when you switch the x-value with the y-value. The y-value is equal to f(x). So, your work will look something like this. Note the changes in bold.

f(x) = 2x - 3

f(x) = y

y = 2x - 3

x = 2y -3

x + 3 = 2y

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

y =
`(x+3)/(2)` (here, I'm just switching it so the y-value is on the left to make it easier to read)

y = f(x)

`f^(-1)`(x) is the notation for inverse f(x)

So, the final equation would be written as

`f^(-1)(x)=(x+3)/(2)`