Question

For the graph, which are possible functions ƒ and g?

https://dlap.gradpoint.com/Resz/~0._8UabEintU0yUA6.eXztJoQhIeVHna0z8RNw9KLidttD4yzl2pn2gQCylmo/7234256,D8E/Assets/questions/quiz/precalculus/pcalexpo/IMG73438.png

Answer 1

@Hero

Answer 2

"which" implies that there are a list of options. Where are the options?

Answer 3

I believe it's the 3rd one, just don't know if I'm right or not

Answer 4

This is just plug and play. Explain how you're not able to figure this out on your own.

Answer 5

Use a calc and plug the values in. It will either be true or false. You need to find the one that is true for all values.

Answer 6

If an option is not true for all input values of g and all input values of f, then that option is not correct. I don't see the difficulty with this one.

Answer 7

I don't understand how a calculator would work for this situation

Answer 8

What kind of calculator do you own?

Answer 9

There are online calculators you can use like mathway.com for example. There are tutorials on youtube also for learning how to use a calculator. For someone who is 13+ years of age, we expect our users to know how to use a calculator.

Answer 10

@Hero in math class, they taught us that f(x) and g(x) are reciprocals of each other, so the 3rd option is not correct?
I know how to use a calculator

Answer 11

I see. If they are reciprocals of each other then f(g(x)) = x and g(f(x)) = x. Have you checked this for option 3?

Answer 12

You should check that in addition to using the calculator to make sure the (x,f(x)) and (x, g(x)) values match up.

Answer 13

Basically, I just gave you the two ways you need to use to verify your answer.

Answer 14

In summation:
1. Use f(g(x)) = x and g(f(x)) = x to verify that f(x) and g(x) are inverses of each other.
2. Verify that the given values of (x, f(x)) and (x, g(x)) match with your selected answer.

Once you've completed both 1 & 2 you should have found your answer. It will take some work but you can start with the one you think is correct.

Answer 15

what's x?

Answer 16

For example for the g function, one of the points is \((x, y) = \left(-1, \dfrac{9}{2}\right)\)

Answer 17

If that isn't clear enough for you, then you're not proficient enough to do these and nothing I say will help you.

Answer 18

I got it

thank you for being so blunt

Answer 19

Sorry, it's just that people don't realize how busy I am.

Answer 20

I understand, my teacher gets more frustrated then people on here do

Answer 21

I bet he/she does