The amount of energy a microwave oven uses (in the form of electricity) is given by the function f(x)=5x+9, where x is the amount of time the microwave is turned on. The amount of energy the microwave puts out is modeled by the function g(x)=−x^2+3x+1, where x is the amount of time the microwave is turned on.What is the difference between the amount of energy the microwave uses and the amount it puts out?(x)=x^2+2x+8f(x)=−x^2−2x−8f(x)=−x^2+8x+10f(x)=x^2−8x−10

Answer:The difference between the amount of energy the microwave uses and the amount it puts out is x² + 2x + 8 ⇒ first answerStep-by-step explanation:* Lets explain how to solve the problem- The amount of energy a microwave oven uses is given by the   function f(x) = 5x + 9- The amount of energy the microwave puts out is given by the   function g(x) = − x² + 3x + 1- x is the amount of time the microwave is turned on in  both functions- To find the difference between the amount of energy the   microwave uses and the amount it puts out we will subtract   g(x) from f(x)* Lets do that∵ f(x) = 5x + 9∵ g(x) = - x² + 3x + 1∴ The difference = 5x + 9 - (-x² + 3x + 1) ⇒ multiply the bracket by (-)- Remember that (-)(-) = (+) and (-)(+) = (-)∴ The difference = 5x + 9 + x² - 3x - 1 ⇒ Add the like terms∴ The difference = x² + (5x - 3x) + (9 - 1)∴ The difference = x² + 2x + 8* The difference between the amount of energy the microwave uses   and the amount it puts out is x² + 2x + 8