express your answer as a polynomial in standard form.\n$f(x) = x - 4$\n$g(x) = 2x^2 + 2x + 14$\nfind: $(f…

express your answer as a polynomial in standard form.\n$f(x) = x - 4$\n$g(x) = 2x^2 + 2x + 14$\nfind: $(f \\circ g)(x)$

express your answer as a polynomial in standard form.\n$f(x) = x - 4$\n$g(x) = 2x^2 + 2x + 14$\nfind: $(f \\circ g)(x)$

Answer

Explanation:

Step1: Define composite function

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

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

$f(g(x)) = f(2x^2 + 2x + 14)$

Step3: Replace $x$ in $f(x)$

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

Step4: Simplify the expression

$2x^2 + 2x + 14 - 4 = 2x^2 + 2x + 10$

Answer:

$2x^2 + 2x + 10$