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## firebird 2 years ago If f(x) = xsquared does f(a+1) = (a+1)squared

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1. ASAAD123

what's the question?

2. firebird

if f(x) = X squared does it follow that f(a+1) = (a+1) squared

3. mark_o.

True :D

4. ASAAD123

yes

5. firebird

explain why

6. ASAAD123

replace x with (a+1).

7. firebird

How do you evaluate the expresssion f(g(4)) when f(x)= 3x and g(x)= x-2

8. ASAAD123

f(g(4))=3(4-2)=6

9. hba

@firebird Do you understand ?

10. firebird

no

11. hba

So let me explain that to you We have to find f(g(4) So we have to find g(4) first g(x)=x-2 then g(4)=

12. Shadowys

note: if f(x)=3x, g(x)=x-2, then f(g(x))=3(g(x))=3(x-2)

13. ASAAD123

f(g(x)) :substitute g(x) in x of f(x).

14. Shadowys

simply sub anything inside x as long it's in the domain.

15. hba

@firebird Do you follow me ?

16. firebird

yes

17. hba

So what did you get ? g(4)=

18. firebird

4-2=g(x)

19. firebird

So under the same values of f(x) and g(x), g(f(4)) is equal to g(3(x)) which is equal to x-2(3x)?

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