$f(x)=5 x^{2}-3 x-1$ and $g(x)=x-1 ;(f \circ g)(x)$.
A) $5 x^{2}-13 x+7$
B) $5 x^{2}-8 x+1$
C) $5 x^{2}-13 x+1$
D) $-13 x^{2}+5 x+7$

Question

Quizplus · Accepted Answer

The composition $(f \circ g)(x)$ means applying $g(x)$ first, then applying $f$ to the result. Here, $g(x) = x - 1$, so applying $f$ to $g(x)$ gives $f(g(x)) = 5(x - 1)^2 - 3(x - 1) - 1$. Expanding and simplifying gives $5x^2 - 10x + 5 - 3x + 3 - 1 = 5x^2 - 13x + 7$.

f(x)=5x2−3x−1f(x)=5 x^{2}-3 x-1f(x)=5x2−3x−1 And g(x)=x−1;(f∘g)(x)g(x)=x-1 ;(f \circ g)(x)g(x)=x−1;(f∘g)(x) A) 5x2−13x+75 x^{2}-13 x+75x2−13x+7

$f(x)=5 x^{2}-3 x-1$ And $g(x)=x-1 ;(f \circ g)(x)$
A) $5 x^{2}-13 x+7$