Question

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

Answer 1

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)

Answer 2

`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)`