Given f(x) = x-5 / 3 solve for f^-1(3).

Question

anonymous · Answer

$$\frac{ x-5 }{ 3 }$$

anonymous · Answer

$$f ^{-1}(3)$$

ganeshie8 · Answer

you want to find out for what value of x, the function spits out `3`

ganeshie8 · Answer

$$\large 3 = \dfrac{x-5}{3}$$

solve $x$

anonymous · Answer

14

anonymous · Answer

hey, you need to find the inverse function first, and only then plug in 3 for x.

ganeshie8 · Answer

14 is right !

anonymous · Answer

Ok thank you, i think I just overthink all of this. seems much easier when you explain

anonymous · Answer

last one, new thread or post here?

ganeshie8 · Answer

post it here if it is related to this question

anonymous · Answer

f(x) = (x-5)/ 3 
 f(x) = (1/3)x-5/3 
y = (1/3)x-5/3 
x= (1/3)y-5/3 
3x= y-5 
3x+5= y
f^(-1) (x) = 3x+5
f^(-1) (3) = 3(3)+5 =9+5=14

yes 14 is right, but I just didn't see the process for finding the inverse function.

ganeshie8 · Answer

one question per post is good though :)

anonymous · Answer

I see what yu did.

anonymous · Answer

But I mean if the tack was to find f^(-1)(x) first, you wuldn't get away with plugging 3 for y.

anonymous · Answer

oops, *task

anonymous · Answer

i'll post a new thread @((*-*)) good job :D

ganeshie8 · Answer

the task was to find the inverse of 3 so there is no need to find the inverse of entire function *strictly speaking* :P

anonymous · Answer

Yes, I know. I was just proposing a general approach, although your's is surely much easier.

ganeshie8 · Answer

:)