3. Consider the set X = {a,b,c} and the function f: X→ X defined by the rules f(a) = b. f (b) = a and f(c) = b. Using the notation f(*) to indicate the function f composed with itself z times, write down explicitly the following functions: . fof . fofof • f(9) f(624)

Q: Which of the following expressions has a domain that is a subset of the domain (i.e. set of all…

A: We can find the domain of each function and then find the answer.

Q: 1. Is the following relation a function? If not, explain why. 2. Is the following relation a fur…

A: 1) From the given table, The element 0 in the domain set has two images 1 and 2 in the range set.…

Q: 13x + 7 is x – 3 The domain of the function f(x) OR-(3}

A: The domain of a function is defined as the set of all input values for which the function is…

Q: For a function f: A --> B and subsets C and D of A and E and F of B, prove that the relationship is…

A:

Q: d. L-1 f. L-1 h. L-1 1 - 3s 3s²-5 S-7 - 10s + 29 s²+2s 4 s4 +25³ +5²

A:

Q: Let f be defined by the graph to the right. Find VF(- 2.5) + f(1.9) – [(x))² + f(1) ÷ f(2) • f( – x)…

A:

Q: Which of the following statements is true about the function f(x) = x' - 6x²? a. The graph of f is…

A: We will check second derivative to find concave up and concave down.

Q: f(x) = √21 - 4x - x²

A:

Q: For a function f: A --> B and subsets C and D of A and E and F of B, prove the following: f(C) -…

A:

Q: Use the piecewise-defined function to find the following values for f(x). 1-4x if xs-2 f(x) = 4x if…

A: Consider the given piecewise-defined function, fx=1-4x       if x≤-24x             if…

Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: Let f (x) be the function given below. Find all x values where f(x) is discon- tinuous. A. x = 2,3,4…

A: Step 1:Step 2:Step 3: Step 4:

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: Express the following functions F, H and G in the form f∘g. (Enter your answers as a comma-separated…

A:

Q: B. Determine the function which coincides with f(x) for all values with the exception x = 5. (x² -…

A:

Q: Determine whether the following function is continuous at the given point z- 3z+ 14z -5 f(2) 3z -1…

A: A function fx is continuous at x=a if limx→a-f(x) = limx→a+f(x) = f(a)  Given: fx=3x2+14x-53x-1…

Q: Let f be a function of x. Which of the following statements, if true, would guarantee that there is…

A:

Q: (a) Calculate lim f(x) if it exists. If it does not exist write “DNE”. x→4 lim f(x) x →4 - (b) Find…

A:

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Express the function F in the form f∘g. (Enter your answers as a comma-separated list. Use…

A: Remark: we know that (f•g)(x) = f(g(x))

Q: Determine the intervals of concavity for the function 9(x) = xª – x³ - x³ – x² + 8x – 5. Note: If…

A: Concavity.

Q: 8 Evaluate the following question for f(-2): f(x) 3x + 2

A:

Q: Let A- (Blanche, Rose, Sophia, Dorothy), B-(Red, Blue, Yellow) and consider the function f: A B…

A:

Q: Which of the following is the domain of the function g(x) 2-x 0(-00,2 O (-00, 0) O [0, ∞0) O (-0, 2)

A:

Q: Make a table of values for f(x)=x²- 4 showing function values for x = 4, 6, 8,....

A: It is given that the function is fx=x2-4. We have to find the value of this function at different…