F(x) = –3x – 1
g(x) = 3x2 – 5x + 14
find: f(g(x))

Answers

Step-by-step explanation:

f(x)=-3x-1

g(x)=3x²-5x+14

f(g(x))

f(3x²-5x+14)

3(-3x-1)²-5(-3x-1)+14

3(9x²+6x+1)+15x+5+14

27x²+18x+3+15x+19

f(g(x))=27x²+33x+22

(-3x -1) (3×2- 5x + 14)

we group like terms

-3x-5x-1+6+14

-8x + 5 + 14

-8x + 19



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