Question

composition of functions (with x)
score: 0/1 penalty: 1 off
question
express your answer as a polynomial in standard form.
$f(x) = 3x + 14$
$g(x) = 2x^2 - 4x + 1$
find: $(f \circ g)(x)$
answer attempt 1 out of 3

Explanation:

Step1: Define function composition

$(f \circ g)(x) = f(g(x))$

Step2: Substitute $g(x)$ into $f(x)$

$f(g(x)) = 3(2x^2 - 4x + 1) + 14$

Step3: Distribute the 3

$= 6x^2 - 12x + 3 + 14$

Step4: Combine constant terms

$= 6x^2 - 12x + 17$

Answer:

$6x^2 - 12x + 17$