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OLEGan [10]
2 years ago
8

Find f(g(x)) simplify completely f(x)= x^2+5x+2 g(x)=3x

Mathematics
2 answers:
Sindrei [870]2 years ago
8 0

Answer:

<u>f(g(x)) = 9x² + 15x + 2</u>

Step-by-step explanation:

  • f(x) = x² + 5x + 2
  • g(x) = 3x

<u>Solving f(g(x))</u>

  • f(g(x))
  • f(3x)
  • f(3x) = (3x)² + 5(3x) + 2
  • f(3x) = 9x² + 15x + 2
  • <u>f(g(x)) = 9x² + 15x + 2</u>
elena-s [515]2 years ago
8 0

Answer:

f(g(x)) = 9x^2 + 15x + 2

Step-by-step explanation:

<u>Step 1:  State the equations</u>

f(x) = x^2 + 5x + 2

g(x) = 3x

<u>Step 2:  Insert the equation and solve</u>

f(g(x)) = (g(x))^2 + 5(g(x)) + 2

f(3x) = (3x)^2 + 5(3x) + 2

f(3x) = 9x^2 + 15x + 2

f(g(x)) = 9x^2 + 15x + 2

Answer:  f(g(x)) = 9x^2 + 15x + 2

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