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Algebra II help? Functions and Relations?

1. find f of g when f(x)=3x and g(x)=x+1

a. 4x+1

b. 3x+1

c. 3x2+1

d. 3x+3

2. Find g of x when f(x)=x+7 and g(x)=3x-2

a. 3x+5

b. 3x+19

c. 3x-5

d. -3x-19

anything helps thanks you!!

4 Answers

Relevance
  • cidyah
    Lv 7
    4 years ago

    1.

    f(x) = 3x

    g(x) = x+1

    f(g(x)) = f(x+1) = 3(x+1) = 3x+3

    2.

    f(x) = x+7 , g(x) = 3x-2

    g (f(x) ) = g(x+7) = 3(x+7)-2 = 3x+21-2 = 3x+19

  • 4 years ago

    1) f o g = f(x + 1) = 3(x + 1) = 3x + 3. D).

    2) You got g(x) already. If you mean g o f, that is g(x + 7) = 3(x + 7) - 2 = 3x + 21 - 2 = 3x + 19. B).

  • ?
    Lv 7
    4 years ago

    1. (f o g)(x)) = f(g(x))

    = f(x + 1) = 3(x + 1)

    d. 3x+3

    2. g of f ?

    g(f(x)) = g(x + 7)

    = 3(x + 7) - 2

    = 3x + 19

    b. 3x+19

  • 4 years ago

    f(g(x)) = 3(g(x))

    f(g(x)) = 3(x +1)

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