Question

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

Answer 1

Answer:

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

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)
• f(g(x)) = 5(3x + 7)

Answer 2

Answer:

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

Step-by-step 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:  $f(g(x)) = 3(5x + 7)$