Algebra..

Check These Answers Please?

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

asked by victoria
  1. 1. 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.

    posted by Steve

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