(n) If A is a subset of the codomain of f, explain why f(f-1(A)) is a subset of A. (0) Give an example of a function f and subset of its codomain A for which A is not a subset of f(f-"(A)). (p) Find the domain of f og in terms of the domain of f and g as a preimage.

Q: Is there a function that is both even and odd?

A: Yes, f(x)=0 is both even and odd.

Q: Let f be the function that inputs a cost (in dollars) and outputs the cost after applying the "$20…

A: Given data, original cost of goods = $400 Purchasing cost = $240 And 'f' be the function that inputs…

Q: Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit. Let p(x)…

A: Here we have to right condition between p(x) and s(x) in respective questions

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: 1. A tank contains 50 gallons of a solution composed of 90% water and 10% alcohol. A second solution…

A:

Q: A fixed point of a function f is a number c in its domain that satisfies f(c).  In other words, the…

A: Given: A fixed point of a function f is a number c in its domain that satisfies f(c).

Q: which of the following statements represents a function? A. Students of their current age? B.…

A: Function: A function from a set A to a set Y is an assignment of an element of A to each element of…

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: Determine whether the given relationship defines a function. If so, identify the independent and…

A: Referring from the given table The monthly premium p for a $100,000 life insurance policy determined…

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: 1. A thermometer reading 18 °F is brought into a room where the temperature is 70 °F; 1 minute later…

A: Solve for the temperature

Q: Let f and g be the functions defined by the tables below: f(x) g(x) 4 4 3 2 1 X 0 123456 0 -1 -2…

A: Given,            Let f and g be the functions defined by the tables below :           To find :…

Q: Brenton's weekly pay, P(h), in dollars, is a function of the number of hours he works, h. He gets…

A:

Q: A library has 50,000 books and is adding 500 books every year. Write a function f(x) for the number…

A: Let x be the number of years. At x = 1, the number of books is 50,500 At x = 2, the number of books…

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: A NC university implemented a fine for any student having a party during the pandemic at $150 plus…

A:

Q: The one-to-one functions g and h are defined as follows. g(x) = -9x-2 h={(-2, 9), (0, 4), (3, 5),…

A:

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

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.