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Level M
P. 2 Multiply functions

49K
What is 
(f*g)(x) ?

{:[f(x)=5x+6],[g(x)=2x+1]:}
Write your answer as a polynomial or a rational func

Level M\newlineP. 22 Multiply functions\newline49 K 49 \mathrm{~K} \newlineWhat is (fg)(x) (f \cdot g)(x) ?\newlinef(x)=5x+6g(x)=2x+1 \begin{array}{l} f(x)=5 x+6 \\ g(x)=2 x+1 \end{array} \newlineWrite your answer as a polynomial or a rational func

Full solution

Q. Level M\newlineP. 22 Multiply functions\newline49 K 49 \mathrm{~K} \newlineWhat is (fg)(x) (f \cdot g)(x) ?\newlinef(x)=5x+6g(x)=2x+1 \begin{array}{l} f(x)=5 x+6 \\ g(x)=2 x+1 \end{array} \newlineWrite your answer as a polynomial or a rational func
  1. Identify Functions: Identify the given functions:\newlinef(x)=5x+6f(x) = 5x + 6\newlineg(x)=2x+1g(x) = 2x + 1
  2. Multiply Functions: Multiply the functions:\newline(fg)(x)=(5x+6)(2x+1)(f*g)(x) = (5x + 6)(2x + 1)\newline=5x(2x)+5x(1)+6(2x)+6(1)= 5x(2x) + 5x(1) + 6(2x) + 6(1)\newline=10x2+5x+12x+6= 10x^2 + 5x + 12x + 6\newline=10x2+17x+6= 10x^2 + 17x + 6

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