Consider the functions F : X → Y and G : W → Z defined in the arrow diagrams below. ( 1) Draw the arrow diagram for GoF. Make sure that you include the domain and codomain labels as in the above diagrams. ( .2) Does Go F have an inverse? YES NO (Circle One) If you answered YES, what is (G o F)~'(4)? If you answered NO, what is the inverse image of 4 with regards to Go F? en

Q: Use the given graphs off and g to evaluate the expression. Rit #61 #51- g -1 +-21 1-3 4 5 6 7 X 1…

A:

Q: a. Write the difference quotient for f(x) = In x. b. Show that the difference quotient from part (a)…

A:

Q: How do you show the inverse image of the intersecction of S and T equals the intersection of the…

A: To prove : f-1(S∩T)=f-1(S)∩f-1(T) To show f-1(S∩T)=f-1(S)∩f-1(T) need to prove…

Q: (d) Operator -iħd/dx and function exp(-ikx). (e) Operator -ħ?d?/dx² and function exp(-ikx).

A:

Q: Consider the following function: | 4x 9z -19 1 -1 -9z 19 f(2) = 3 13 0 0 0 a) What is the highest…

A:

Q: Original Relation D: Inverse Relation D: R: R:

A: 1)  Original relation : Domain: [-6,9) Range : [-2,10)   Inverse relation : Domain : [-2,10) Range :…

Q: What is the inverse of the function y = 9x2 + 12x +4? What domain restrictions are necessary?…

A: Given y = 9x2+12x+4let inverse of y = f-1(x)

Q: Find the inverse of the relation Express your answer in terms of the new 'y'. (x+7)²+(y-6)² = 19

A:

Q: 1. for f(x)=x2 + 2 AND g (x)= 8 - 7x, evaluate:  a) g(-3a + 1) b) g(-3a + 1) - f(a+4) c) x when…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: XI. Refer to the functions f, g, and h defined here. f(x) = 1/x, g(x) = 2 vx, and h(x) = x2 -1…

A: Using rules of functions.

Q: 22. For which of the following functions is its inverse not a function? Explain (in words) why. I.…

A:

Q: The function f(x) = x - 2 +3 is transformed into the function g(x) = | – 3 +5 . The description of…

A: The given functions are f(x)=x-2+3 is transformed into the function g(x)=x-3+5

Q: 44) Use the functions defined below to answer the following questions. f(x) g(x) 5 1 8 2 -2 3 8 -7 X…

A:

Q: could you perhaps elaborate more on transitivity, I can find the relation but I dont know if its…

A: Step 1: Verify reflective and symmetricGiven that   be a relation on the set Reflexive:  For every…

Q: Given a function, 2, xeR. Find the inverse function for f(x) D, mR. m{ ne, wo) AND R, mD -a. ) and…

A: Use rule to find inverse function

Q: Consider the functions y = (x - 2)² +3. 13. a. Find the inverse of the function. b. Find f-¹(-4). If…

A:

Q: How do you show the image of the union of S and T is equal to the union of the image of S and the…

A:

Q: 4. a) Find the inverse of the following function. f(x) = 2(x – 6)² -

A: