Given then functions: f(x)=4x+9 and g(x)=7x-5

RWill asked Aug 28, 2023

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RWill asked Aug 28, 2023

by RWill

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Part 1

$(f+g)(x)=f(x)+g(x) \\ \\ =4x+9+7x-5 \\ \\ =11x+4$

Part 2

$(f-g)(x)=f(x)-g(x) \\ \\ =(4x+9)-(7x-5) \\ \\ =4x+9-7x+5 \\ \\ =-3x+14$

Part 3

$(f \cdot g)(x)=f(x) \cdot g(x) \\ \\ =(4x+9)(7x-5) \\ \\ =28x^2-20x+63x-45 \\ \\ =28x^2+43x-45$

Part 4

$\left((f)/(g) \right)(x)=(f(x))/(g(x)) \\ \\ =(4x+9)/(7x-5)$

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