Need help finding the inverse.

Question

anonymous · Answer

$$f(x)= \frac{ x-5 }{ 3 }$$  Find $$f ^{-1} (3)$$

anonymous · Answer

@I_Always_Smiling @Taylev105

anonymous · Answer

$\large y = \frac{ x-5 }{ 3 } $ so  $\Large x = 3y + 5$ , let $x=f^{-1} (t)$ so $f^{-1} (t) = 3t + 5 $ and you can simply find $\large f^{-1}(3) $

anonymous · Answer

Simply? I don't understand that. I done this lesson ages ago, I just don't remember what step to take with the given example first.

anonymous · Answer

well,you know that the inverse of a function is that you write what does x equal to...suppose $ f(x) = y $ then you have $ \large y = \frac{ x-5 }{ 3 } $. you can find x from this equation,ok?

anonymous · Answer

@Brostep0s

anonymous · Answer

Right, so then I would add 5 the the y?

anonymous · Answer

you have to find x from that equation,you can do anything but get the right answer : $ x = 3y + 5 $

anonymous · Answer

That's the equation I got, so then I would replace the y with an x right?

anonymous · Answer

yes,let x a new function and then find what does $f^{-1} $ equal to.

anonymous · Answer

3. I got it, it's 14. Thanks a lot.

anonymous · Answer

yes,you got the correct answer ;) , ur welcome