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

User Rex Whitten
by
3.0k points

2 Answers

13 votes

Answer:

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

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)
  • f(g(x)) = 5(3x + 7)

User Bobsr
by
4.2k points
2 votes

Answer:


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

Explanation:

Step 1: State the eqautions


f(x) = 5x + 11


g(x) = 3x + 2

Step 2: Insert the equation and solve


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

Step 3: Simplify completely


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


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

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

User Venederis
by
4.7k points
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