Question

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

Answer 1

f(g(x)) = 9x² + 15x + 2

Explanation:

• f(x) = x² + 5x + 2
• g(x) = 3x

Solving f(g(x))

• f(g(x))
• f(3x)
• f(3x) = (3x)² + 5(3x) + 2
• f(3x) = 9x² + 15x + 2
• f(g(x)) = 9x² + 15x + 2

Answer 2

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

Explanation:

Step 1: State the equations

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

`g(x) = 3x`

Step 2: Insert the equation and solve

`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`