(n) Find the domain of fog in terms of the domain of f and g as a preimage. (0) Show, if A is any subset of the codomain of g, then (f o g)-1(A) = g¬'(f-1(A)). (p) Show, if A is any subset of the domain of g, then (f og)(A) = f(g(A)).

Q: A class has two options to pass the class: either the homework grade is at least 60% or the final…

A: Given Information: There are two options for a class to pass. Either the homework grade is at least…

Q: The following table shows the temperature F, in degrees Fahrenheit, of an object that has a…

A: Given,  A table that show the temperature in degree fahrenheit and Kelvin scale.  We have to solve…

Q: Let f be a function. If f (a) = f (6), then a = b. O True O False

A: We have to check is true or not

Q: 2. A train is spotted 10 miles south and 8 miles west of an observer at 2:00 pm. At 3:00 pm the…

A:

Q: Select all of the following tables which represent y as a function of x. -5 -3 -2 -1 -4 -5 -1 2 1 2…

A:

Q: Let f and g be functions. Suppose f has domain A and codomain B, while g has domain B and codomain…

A: f∘g is defined if co-domain of g = Domain of f .

Q: Select all of the following tables which represent y as a function of . Y Y x y -5 -2 -4 1 1 2 1 4 8…

A:

Q: The table shows men's shoe sizes in the United States and the corresponding European shoe sizes. Let…

A: The given data, Men's U.S shoe size Men's European shoe size 8 9 10 11 12 13 41 42 43 44 45…

Q: Select all of the following tables which represent y as a function of . I y y y -5 -4 -3 -4 2 3 1 1…

A:

Q: Select all of the following tables which represent y as a function of x and are one-to-one. > x Y X…

A: For y to be a function of x , every element of y has a unique image in x .  For function to be one…

Q: In order to write the total cost as a function of one variable, we must find a relationship between…

A: To find the relationship between X and Y, we can use the equation XY = 20,000 since the total number…

Q: Complete the sentence below. Iff is a one-to-one function and f(3) = 6, then f(6) = If f is a…

A: One one functions

Q: Does the following table represent an even or odd function ?        x     y    -3   10.5    -2…

A:

Q: A cell phone plan charges $30 per month for unlimited call and text messages, however each gigabyte…

A:

Q: Consider three independent tosses of a fair coin (so all eight possible outcomes are equally…

A: The theory of probability has its origin in the seventeenth century.The king of France who…

Q: The balances in a checking account are recorded once every week. The balances over a four week…

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.