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September 29, 2016
Posted by **victoria** on Tuesday, September 11, 2012 at 2:27pm.

f(x)= x^2+3 ; g(x)=3x-1

1. (f+g)

=x^2+3x+2

2. (f+g)(3)

= 20

3. (f-g)(x)

= x^2+3x-4

4.(fg)(x)

= 3x^3+1x^2-9x+3

5. (fg)(x)

=5

6. (f/g)(x)

=(x^2+3)/(3x-1)

Compostitions of functions :

7. (f o g)(x)

=3x^2+4

8. (f o g)(x)

=10

- Algebra.. -
**Steve**, Tuesday, September 11, 2012 at 3:16pm1. ok

2. ok

3. (f-g)(x) = x^2 - 3x + 4

4. (fg)(x) = 3x^3 - x^2 + 9x - 3

5. (fg)(x) is not a number. Also, I find no value for x where (fg)(x) = 5

6. ok

7. (fog)(x) = f(g(x))

= g^2 + 3

= (3x-1)^2 + 3

= 9x^2 - 6x + 4

8. same as 5.