(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: Sketch the graph of the function.

A: Definition used -               The domain of square root function -  We know that number inside…

Q: 2. Determine the equation of the following function. State your answer as a piecewise function. y 10…

A:

Q: A One-to-One function passes both the vertical and horizontal line tests. True O False

A: all the function passes vertical line test and one to one function meed to pass horizontal test…

Q: Assume g is a one-to-one function. If g(x) =x2+ 10x with x 2 -5, find g1 (4) 2. 10+ 10 а. b. -10 -6…

A: Consider the function,

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: Select all of the following tables which represent y as a function of and are one-to-one. I 5 8 8 Y…

A: Given query is to find which function is one to one.

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: 1. a. Graph the function f(x) = 2* in an appropriate window on the graphing calculator or Desmos. b.…

A: As per our guidelines we can solve only one question at a time. Please repost unsolved question…

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: The domain of a one-to-one function g is [0, 15] , and its range is (0, 8). State the domain and the…

A: The domain of a one-to-one function g is 0, 15 and its range is 0, 8.

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: Is the following real world example a linear function or a nonlinear function? Explain why

A:

Q: 1, if x<-1 f(x) ={ x, if -1くxく0 2-x, if x 2 0

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…

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.