Consider the functions f, g and h as defined below. Y= fx) -6 -2 g(x) = x+1 -2 -1 2 3 h(x) 6. 3. 0. 4. -9 What is the range of f? What is the domain of g? Evaluate h-(3)? Does f have an inverse function? Oyes O no For which values of z does h(r)= 0? What is (f o h)(2)? What does (f og)(0) = ? If there are multiple answers please use a comma to separate them. olm 2

Q: Assume that f is a one-to-one function. (a) If f(6) = 16. what is f-¹(16)? WEB www. Enter an exact…

A:

Q: 8. Given the function h(x) answer all of the questions below. If there are multiple answers, state…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: can an even function be selv-inverse?an odd function?

A: Can an even function be self-inverse?an odd function?

Q: X+5 %3D Simplify f(x +h)

A: Real Analysis:

Q: Suppose a one-to-one function has domain [1,00) and range (-2,2). What is the domain of the inverse…

A: see below the explanation and answer

Q: If the function is one-to-one, find its inverse. If not, write "not one-to-one." 12) f(x)= 2 X-5 A)…

A:

Q: 5. Consider the statement: "If a given relation, y = f(x), is a function, then its inverse, y…

A: A function is a relation between a set of inputs and a set of permissible outputs with the property…

Q: If equations for functions f and g are given, describe two ways to find (f – g)(3).

A: f-g3Subtraction of two function:f-gx=fx-gx

Q: 15) Given f is a one-to-one function with values f(-4) = 7 and f(9) = -15. Find the corresponding…

A: Solution: The objective is to find the corresponding inverse functions

Q: If a function passes the vertical line test then it has an inverse

A:

Q: If f (x) = x-x, show that 2.

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: How to use the standard y = f(x) notation to indicate that (a, b) is an element of the function f?

A:

Q: Use f (x) = x – 3 and g (x) = to find the - given functions. (2 points each) 1) g • f 2) g • g Find…

A: The given functions are: f(x)=x-3          and          g(x)=xx+3

Q: What is the new function g (x) after vertically stretching f (x) = 5(2-2) by a factor of 3?

A: To find the new function g(x) after vertically stretching f(x)=5(x-2) by a factor of 3.

Q: Expand and simplify, then verify your answers by evaluating the expressions before and after…

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Q: Use first principles to differentiate the function f(x) = √√2x + 1

A:

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.