Question

express your answer as a polynomial in standard form.
$f(x)=x-4$
$g(x)=3x^2+6x+9$
find: $(f \circ g)(x)$

Explanation:

Step1: Define composite function

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

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

$f(g(x)) = (3x^2 + 6x + 9) - 4$

Step3: Simplify the expression

$f(g(x)) = 3x^2 + 6x + 9 - 4 = 3x^2 + 6x + 5$

Answer:

$3x^2 + 6x + 5$