3 of 5 Determine the range of the following function in set notation: A -3 saS4 -3 saS2 C -5 sa53 -5 sas4

Q: Suppose that the functions g and h are defined as follows. g (x) =x+2 h (x) = (x+5)(x- 5) 8 (a) Find…

A: Given: g(x)=x+2 , h(x)=(x+5)(x-5) To determine: a)gh(2) b) To determine all the values that are not…

Q: 11. Let fbe defined as follows: 2.x – 4, if x 2 f(x)=- a. Sketch the graph of f. b. Find a single…

A:

Q: Does every one-to-one function has Select one: A. Both A and B B. same number of elements in…

A: In one to one function there is only one y value corresponds t the x value. The elements in the…

Q: Let h(x)=f(x)g(x). If f(8)=4,f′(8)=−1,g(8)=5, and g′(8)=−3, what is h′(8)? Do not include "h′(8)="…

A: We have to find value of h\'(8) where information is given below:

Q: Suppose the function f has a domain set of all real numbers. Given below is the graph of f(x). f'(x)…

A:

Q: for all real nombers, as fllou) -7

A:

Q: Suppose that the functions g and h are defined as follows. g(2) = -5+4x h(x) = 5-3x (a) Find |(2).…

A:

Q: (-2, 7.333) 10 (0, 0) (5.058, 0) (-3,558, 0) 10 (3, -13.5) Complete the following statements. f'(x)…

A: The graph of the function fx is To complete the following statements :

Q: Let the function f: N N given by f(n) is equal to the sum of the digits in n. (note that the set N…

A: Given query is to find the value of function. f(12).

Q: Suppose that the function f is defined, for all real numbers, as follows. 4x+3 if x-2 Graph the…

A: Given 4x+3      if x⩽-2x-2       if x>-2 Our Aim To graph  the given function and to determine…

Q: Let k(x)=f(x)g(x)h(x). If f(−2)=−5,f′(−2)=9,g(−2)=−7,g′(−2)=8,h(−2)=3, and h′(−2)=−10 what is…

A:

Q: e, F. g}. Define functions H and K by the arrow diagrams below. Domain of H Co-domain of H Y H od of…

A:

Q: If A and B are finite, show that the set of all functions f: A B is finite.

A:

Q: Suppose f is a function with domain [a, b]. If f is an odd function, what can be deduced about a and…

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: Suppose that the functions g and h are defined as follows. g (x) =x-9 h (x)=(x-2)(x+2) (a) Find h…

A: This question is based on Operation of functions.

Q: For f(x) = Vx+5 and g(x) = x + 8, the domain of х-9 x is? (0, 0) Option 1 [-5, 9) U (9, 0) Option 2…

A: Let's find.

Q: Suppose that the function g is defined, for all real numbers, as follows. +s if x#2 8 (x) = -3 if…

A:

Q: 5. 6. Let f(r) = a. Show that f is one-to-one. That is, show that if = , then a = b. %3D b. Compute…

A:

Q: 2. For each of the following, give an example or explain briefly why no example is possible. (a) The…

A: Given

Q: If the sequence of functions {go,gı,...} is orthogonal on [a,b], and if go does not change sign,…

A: We will use the fact that if the integral of a function within an interval is zero, then that…

Q: Suppose that the function g is defined, for all real numbers, as follows. 3 -x-1 if x#2 8 (x) =- %3D…

A: g(x) = -3 if the value of x is 2.

Q: Use the given graph of f to find a number ô such that if |x - 1| < 8 then If(x) – 1| < 0.2 8 = 1.2 1…

A: We will use the defination of limit in order to solve the given problem.

Q: Which of the following is a not number theoretic function? (a) (b) (c) (d) greatest integer function…

A: We have to check that in the given option, which is a not number theoretic function.  Note:- In…

Q: A) Find the domain and range f the fnetion メーし メ+2 ユーメ-

A: Explanation of the solution is given below...

Q: Consider the function above. hich of the following statements are true? Select THREE. O The vertex…

A:

Q: HELP DISCRETE MATH PLEASE

A: We know that a function f:A→B is one-to-one if fx1=fx2⇒x1=x2  ∀ x1, x2∈A i.e., there should not be…

Q: Suppose that the function g is defined, for all real numbers, as follows. if x+ -1 g (x) = - 1 if x…

A:

Q: 1. Evaluate each expression using the graphs of y = f(x) and y = g(x) shown in the figure. (7. 6) y…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: what is the domain and range of the : following function The function that assigns to a bit string…

A: Follow next step

Q: (a) Let sets S = {A, B} × {1,2} and T = {A, B} x {1,2,3, 4, 5} . How many different one to one…

A: Given sets are  S=A,B×1,2T=A,B×1,2,3,4,5 To find the number of different one to one functions from S…

Q: Suppose that the function h is defined, for all real numbers, as follows. -4 if x -2 h (x) = < 1 if…

A: Here the definition of a function is given and we have to find the value of function at given…

Q: Let f(x) = 9- x, g(x) = x² + x, and h(x) = x - 2. Compute the following a. 9(f(3)) b. f(g(h(-8)))

A:

Q: 8. Let A {1,2,3,4) and B (0, 1. Find 4x B, Bx A, Ax 4, Bx B and indicate the number of elements that…

A:

Q: 1. Is there a multiplicative arithmetic function f such that f(2) = 5, f(3) = 7, f(10) = 10 and…

A:

Q: Use the given graph of f to find a number ô such that if |x - 1| < 8 then If(x) – 1| < 0.2 1.2 1.…

A:

Q: Write out all functions f: {1,2} –→ {a,b, c} (in two-line notation). How many functions are there?…

A:

Q: 1.1 Given the function k(t) = In(2 - ()'). (a) Graph g(t) = 2 - ()' and indicate the intercepts with…

A:

Q: Use the given graph of f to find a number d such that if Ix | < 8 then |F(x) – 1| < 0.2 1.2 0.8 0.7…

A: Given :  | x - 1 | &lt; delta Then  | f ( x ) - 1 | &lt; 0. 2  Find : delta = ?

Q: suppose m>0 is an integer. How many one-to-one functions are from a set of m elements to a set of…

A:

Q: Suppose that the function g is defined, for all real numbers, as follows. -x-2 if x# -1 4 g (x) = -1…

A:

Q: Suppose that the functions q and r are defined as follows. I-X-= (x) b r(x) =x²+1 Find the…

A: Consider the provided function, qx=-x-1rx=x2+1 Find the expression for q∘r-5  and  r∘q-5. First , we…

Q: 3.4. 1. For a set A, let P be the set of all functions from A to the two-point set {0, 1}. Then |P|…

A: To prove that |P| = |2A| P be the set of all functions from A to the two-point set {0, 1}

Q: 4. Let A be the set of citizens of the United States and let f be the function that assigns, to each…

A: Let A be the set of citizens of the United States. let ƒ be the function that assigns, to each…

Q: 2. (a) Suppose f is a function with domain a, b. If f is an odd function, what can be deduced about…

A:

Q: Suppose that the function g is defined, for all real numbers, as follows. 3 if x #-2 g (x) = 4 if x…

A:

Q: Suppose that the functions h and g are defined as follows. h (x) =x+4 g (x) = (x+1)(x+2) )(-3). (a)…

A: Given : hx = x+4gx = x+1x+2

Q: Which among the following is an odd function     x3 + 1     x5 + 3     x3 + x2     x3 - x

A: A function is said to be odd function if f(-x)=-f(x).

Q: 8. Determine the algebraic representation of the following piecewise function. 4 3

A: Solution: Now it is known that the equation of parabola is given by y=ax-h2+k Where, h is the…

Q: Which of the following is a not number theoretic function? (a) (b) σ Ø greatest integer function…

A: We have to check which of the following option is a not a number theoretic function. Number…