Thread: Help with composites please!

Here's the question:

Find the composites for the relations defined.

R1={(x,y) member of real numbers x real numbers: y=x}
R2={(x,y) member of real numbers x real numbers: y=-5x+2}

a) R1compositeR1
b)R2compositeR2


a) I was thinking that R1compositeR1={(x,y) member of real numbers x real numbers: x=y}=R1
b) I'm not to sure how to do and thats the one I need help on.


Can you please help me?

Thank you!!

let
and

Then

and



Since both f and g are defined on all of R and both map onto R

The domain and Range are all real numbers.

I hope this helps
good luck.

Originally Posted by TheEmptySet

let
and

Then

and



Since both f and g are defined on all of R and both map onto R

The domain and Range are all real numbers.

I hope this helps
good luck.

I still don't understand. Does this mean that R2compositeR2={(x,y) member of real numbers x real numbers: y=-5x+2}=R2?

Originally Posted by calcprincess88

I still don't understand. Does this mean that R2compositeR2={(x,y) member of real numbers x real numbers: y=-5x+2}=R2?

R1 and R2 are just fuctions.

R1=

R2=

I just called R1 f and R2 g



and

ohhhh I get it. I'm sorry. I didn't understand at first what you were saying but now I do! Thank you soooo much for your patience and help!! I really appreciate it!!!