express your answer as a polynomial in standard form.\n$f(x)=3x^{2}-4x+14$\n$g(x)=-x-6$\nfind: $(g\\circ…
express your answer as a polynomial in standard form.\n$f(x)=3x^{2}-4x+14$\n$g(x)=-x-6$\nfind: $(g\\circ f)(x)$
Answer
Explanation:
Step1: Substitute $f(x)$ into $g(x)$
$(g \circ f)(x) = g(f(x)) = g(3x^2 - 4x + 14)$
Step2: Replace $x$ in $g(x)$
$g(3x^2 - 4x + 14) = -(3x^2 - 4x + 14) - 6$
Step3: Distribute the negative sign
$= -3x^2 + 4x - 14 - 6$
Step4: Combine constant terms
$= -3x^2 + 4x - 20$
Answer:
$-3x^2 + 4x - 20$