College algebra

Question

Let f(x) = x²-20 and g(x)=3-x. Preform the composition or operation indicated. 

 

(f/g)(-10) 

Answer 1

Hello, thank you for taking the time to post your question!

(f/g)(-10) = f(-10) / g(-10) = ((-10)^2 – 20) / (3 - -10) = 80/13

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

(f/g) (x) = f(x)/g(x)

 

(f/g) (-10) = (x²-20)/(3-x) evaluated at x = -10

 

= ((-10)²-20) / (3 - (-10))

 

= (100-20) / (3 + 10)

 

= 80/13 or approximately 6.15