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zimovet [89]
2 years ago
6

Find f(g(x)) simplify completely f(x)= 5x+11 g(x)= 3x+2

Mathematics
2 answers:
KATRIN_1 [288]2 years ago
8 0

Answer:

<u>f(g(x)) = 5(3x + 7)</u>

Step-by-step explanation:

  • f(x) = 5x + 11
  • g(x) = 3x + 2

Solving f(g(x))

  • f(g(x))
  • f(3x + 2)
  • f(3x + 2) = 5(3x + 2) + 11
  • f(3x + 2) = 15x + 10 + 11
  • f(3x + 2) = 15x + 21
  • f(3x + 2) = 5(3x + 7)
  • <u>f(g(x)) = 5(3x + 7)</u>

Stels [109]2 years ago
5 0

Answer:

f(g(x)) = 3(5x + 7)

Step-by-step explanation:

<u>Step 1:  State the eqautions</u>

f(x) = 5x + 11

g(x) = 3x + 2

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

f(g(x)) = 5(g(x)) + 11

f(3x + 2) = 5(3x + 2) + 11

f(3x + 2) = 15x + 10 + 11

f(3x + 2) = 15x + 21

f(g(x)) = 15x + 21

<u>Step 3:  Simplify completely</u>

f(g(x)) = 15x + 21

f(g(x)) = 3(5x + 7)

Answer:  f(g(x)) = 3(5x + 7)

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