Question

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Two landscape companies are mowing lawns in a neighborhood. The two functions f(x) and g(x) represent the number of lawns each company can mow in x hours respectively.

f(x) = 1.2x
g(x) = 2.4x

Create the function h(x) that represents the total number of lawns that are mowed in the neighborhood after x hours.

h(x) = ______________

Answer 1

Answer:

h(x)=3.6x

Step-by-step explanation:

If two companies mow at the same time in one hour, f(1)=1.2 lawns and g(1)=2.4 lawns. In total, 3.6 lawns have been mowed in one hour. In two hours, it'll increase by 3.6 again and continue throughout the day.

To create the function that represents this relationship then f(x) + g(x) = h(x). We add 1.2x +2.4x=3.6x. Therefore the equation for the neighborhood is h(x)=3.6x.

Answer 2

By directly adding the functions, we will get:

g(x) = 3.6*x

how to add two functions?

We know that there are two companies that mow lawns, such that the number of lawns that each company can mow in x hours is given by the functions:

• f(x) = 1.2*x
• g(x) = 2.4*x

We want to get the total number of lawns that are mowed in x hours, that will be just give by the addition of the two above functions, so we have:

h(x) = f(x) + g(x)

By replacing the functions, we get:

h(x) = 1.2*x + 2.4*x = (1.2 + 2.4)*x = 3.6*x

If you want to learn more about functions, you can read:

https://brainly.com/question/4025726