HELP?
f = (1, 2), (2, 3), (3, 4), (4, 5),
g = (1, -2), (3, -3), (5, -5), and
h = (1, 0), (2, 1), (3, 2),
Find the following and state the domain?!
2a.f+g
2b.f-g
2c. f*g
2d. f/h
2e. G o F o h
HELP Pleasee!!
I'm Clueless :/
No worries! I'm here to help you. Let's break down each part of your question and find the answers step-by-step.
Given the following sets:
f = (1, 2), (2, 3), (3, 4), (4, 5)
g = (1, -2), (3, -3), (5, -5)
h = (1, 0), (2, 1), (3, 2)
We need to find the following and state the domain for each:
2a. 2a.f + g:
To solve this, we need to multiply each element in f by 2, then add it to the corresponding element in g.
2a.f + g = (2*1, 2*2) + (1, -2), (2*2, 2*3) + (3, -3), (2*3, 2*4) + (5, -5), (2*4, 2*5)
Simplifying this, we get:
2a.f + g = (2, 4) + (1, -2), (4, 6) + (3, -3), (6, 8) + (5, -5), (8, 10)
Therefore, the answer for 2a. is:
2a.f + g = (2, 4), (4, 6), (6, 8), (8, 10)
Now, let's state the domain of this result. Domain refers to the set of all possible input values. In this case, the domain will be the set of all first elements of each pair in the result.
The domain for 2a. is:
Domain = {2, 4, 6, 8}
We'll follow the same steps for the remaining questions.
2b. 2b.f - g:
Similarly, we need to multiply each element in f by 2b and subtract it from the corresponding element in g.
2c. f * g:
To solve this, we need to multiply each element in f by the corresponding element in g.
2d. f / h:
To solve this, we need to divide each element in f by the corresponding element in h.
2e. g o f o h:
This involves performing the composition of three functions: g, f, and h. We need to apply the functions in the order given.
I hope this breakdown helps you understand how to approach the given problem. If you would like me to provide further assistance with the calculations, let me know!