Problem

Question 4 Let $f(x)=4 x+3$ and $g(x)=5 x^{2}+5 x$. After simplifying, \[ (f \circ g)(x)= \] Question Help: $\square$ Video Submit Question Jump to Answer

Solution

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

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Source: https://solvelyapp.com/problems/C3fJd2llO5/

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