43.5k views
0 votes
Given f(x)=5x-5 and g(x)=3x², first find f+g,f-g,fg, and (f)/(g). Then determine the domain for each function.

User Nyzm
by
7.6k points

1 Answer

4 votes

Final answer:

To find f+g, we add the two functions together to get 3x² + 5x - 5. To find f-g, we subtract the second function from the first to get -3x² + 5x - 5. To find fg, we multiply the two functions together to get 15x³ - 15x². To find f/g, we divide the first function by the second to get (5/3) * (1/x - 1). The domain for each function is the set of all real numbers.

Step-by-step explanation:

To find f+g, we add the two functions together:

(f+g)(x) = f(x) + g(x) = (5x-5) + (3x²)

(f+g)(x) = 3x² + 5x - 5

To find f-g, we subtract the second function from the first:

(f-g)(x) = f(x) - g(x) = (5x-5) - (3x²)

(f-g)(x) = -3x² + 5x - 5

To find fg, we multiply the two functions together:

(fg)(x) = f(x) * g(x) = (5x-5) * (3x²)

(fg)(x) = 15x³ - 15x²

To find f/g, we divide the first function by the second:

(f/g)(x) = f(x) / g(x) = (5x-5) / (3x²)

(f/g)(x) = (5/3) * (1/x - 1)

The domain for each function is the set of all real numbers.

User TheValyreanGroup
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories