Question

If f and g are inverse functions, then what is the composition of g and f equal to?

Answer 1

hmmm always equals x

Answer 2

are you familiar with the term inverse and composition?

Answer 3

It's not my strong suit, if that's what you're asking.

Answer 4

lol

Answer 5

I think this is going to be a while...a long while.

Answer 6

\(f(~f^{-1}(x)~) =f^{-1}(~f(x)~) = x\)

That's more of less a definition of inverse function.

Answer 7

Composition of function and its inverse always equals \(x\)

Answer 8

So I write that out then?

Answer 9

Well gerky gave a concise and precise answer
But its pretty much useless due to the fact that you have no inkling as to what inverse or composition function is

Answer 10

I just need to figure out how to write the answer and that's it, really.

Answer 11

hahahaha

Answer 12

I can get the idea of what they want me to do, it's just that I can't write it.

Answer 13

What's the laughter for?

Answer 14

im actually crying rn

Answer 15

Just \(x\)? What variable do you use for input?

Answer 16

They didn't give a variable, if you mean a number.

Answer 17

Well, number varies.

What stuff can you put in answer box?

Answer 18

I don't actually have possible answers.

Answer 19

Maybe try post screenshot of problem here?

Answer 20

That was the problem, what I wrote, they just said that and that was it.

Answer 21

So there is no answer box or something?

Answer 22

This is a written thing.

Answer 23

The question here is that I need to find what the composition of g and f equal to, if the inverse function is f and g.

Answer 24

This is all written here? Just to be clear, f and g are inverse of each other?

Answer 25

Yep. That's what they wrote. The exact wording is "If f and g are inverse functions, then what is the composition of g and f equal to?".

Answer 26

well, what are your possible answers? What can you put in?

Answer 27

I don't know, honestly. It's not one of those ABCD problems, there's just a blank space and they expect me to fill it.

Answer 28

I guess just put in "x" or maybe "input"

Answer 29

X?

Answer 30

it depend on how we refer input.

Usually we use x as input, so try that I guess.

Answer 31

Okay, I"ll write that down and hope it works.

Answer 32

Thank you.

Answer 33

So it works. Great!

Answer 34

Yeah. It does.