Question 4

Let $f(x)=4 x+3$ and $g(x)=5 x^{2}+5 x$.
After simplifying,
\[
(f \circ g)(x)=
\]

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Answer

$ \boxed{(f \circ g)(x) = 20x^2 + 20x + 3} $

Steps

Step 1 ：$ (f \circ g)(x) = f(g(x)) $

Step 2 ：$ (f \circ g)(x) = f(5x^2 + 5x) $

Step 3 ：$ (f \circ g)(x) = 4(5x^2 + 5x) + 3 $

Step 4 ：$ (f \circ g)(x) = 20x^2 + 20x + 3 $

Step 5 ：$ \boxed{(f \circ g)(x) = 20x^2 + 20x + 3} $