## burhan101 2 years ago Composition of Functions: f(x) {(3,2),(5,2),(7,4),(9,3),(11,5)} g(x) {(1,3),(2,5),(3,7),(4,9),(5,11)}

1. burhan101

What is f(g(3)) ?

2. burhan101

@satellite73 @Hero

3. Hero

Which do you believe is the correct answer?

4. burhan101

no i have to compose it

5. Hero

I know what you have to do bro. I asked you a simple question to see, if perhaps, you have already attempted to solve it.

6. Hero

With these ordered pairs, the first number is the input, the second number is the output.

7. burhan101

No actuallly i don't remember the method, nor can i find it in my textbook : /

8. Hero

so what is the output of g(3)?

9. burhan101

is it 7?

10. Hero

Yes, that is correct. So, in other words g(3) = 7

11. Hero

So now you replace g(3) with 7: f(g(3)) = f(7) So what is the output of f(7) if x = 7 is the input?

12. burhan101

4 ?

13. Hero

Yup, it was that easy.

14. burhan101

ohh, so now do i have to continue this for each one

15. Hero

Good luck with it bro.

16. burhan101

@Hero (f-g)(x) how would i solve that ?

17. Hero

(f - g)(x) = f(x) - g(x)