Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

hink and answer Please write one or two paragraphs on each topic. Express your v

ID: 3026574 • Letter: H

Question

hink and answer Please write one or two paragraphs on each topic. Express your vision of the topic in your own worlds. 1. What is a composition of functions? What is the difference between the composition and the product of two functions? 2. Write a short paragraph about the number e. 3. What is common and what is different about arithmetic and geometric sequences? To answer this particular question, click the link above. Once you are in the forum, click the "Create Thread" button to view the question again, as well as, create and submit your answer.

Explanation / Answer

1) composition of function means plugging output of one function as an input to other function

for example a function f(x) = x+7

qand another function g(x) = 2x

so , f (g(x)) = (2x) + 7

output of g(x) is going as input in f(x)

product of two functions is just multiply the two functions

for example in this product = f(x) * g(x) = (x+7)(2x)

2) the number e is an irrational number whose standard value is 2.718281828....

it is called eulers number named after leonhard euler

e is base of natural logarithms

3) geometric sequnce are sequnce that is found by multiplying the previous term by a constant value

and arithmetic sequnce is found by adding a constant term to the previous term

difference is arithmetic term is found by adding whereas geometric is found by multiplying

similarity is they both follow a certain pattern that cannot be changed