Question

if f(x)=-3x+3, then f^-1(x)=

Answer 1

The inverse of something is just 1 divided by that thing. That applies to functions too. So, \[f(x)^{-1} = \frac{ 1 }{ f(x) }\] Can you figure it out now?

Answer 2

no not actually

Answer 3

Ok, I will walk you through it.
It is just\[f(x)^{-1} = \frac{ 1 }{ -3x + 3 }\]

Answer 4

so do i divid that? or no

Answer 5

@Data_LG2 can you help me.

Answer 6

To get the inverse of a function,

1. Let f(x) = y
2. Rewrite your function in terms of y like this y= 2x + 3
3. Switch the places of x and y, so it will be like this x= 2y + 3
4. Re-arrange the new equation terms of y, so it will be like this:

x = 2y + 3 (subtract both sides by 3)
x-3 = 2y (divide both sides by 2)
(x-3)/2 = y

5. Now that will be your inverse function. Rewrite it in terms od f(x)^-1 it will be \(\sf \large f(x)^{-1}= \frac{(x-3)}{2}\)

Now do it with your problem. I'll check it later (: