Let X = {2,4,6} and Y = {a,b,c,d}. Define g : X → Y by the following arrow diagram. (i) Write the domain of g and the co-domain of g. 4 (ii) Find g(2), g(4) and g(6). (iii) What is the range of g? (iv) Is 2 an inverse image of a? Is 4 an inverse image of b? (v) What is the inverse image of b? c? (vi) Is g one-to-one? Why or why not? Is it onto? Why or why not?

Q: Consider the function f(x) = -3+ Vx-1 (a) Complete the following table of inputs and outputs.…

A:

Q: Use the graphs of f and g to evaluate the function (a) ( f − g)(1) (b) ( fg)(4) .

A: Explanation: Given the graph of two functions f(x) & g(x)   Concept Used:…

Q: Use the graphs of f and g to evaluate the function (a) ( f ∘ g)(2) (b) (g ∘ f)(2).

A: (a) f∘g2=fg2=f2=0 Hence the answer.

Q: 6. Use the graphs of f and g to find the function values: 4 3 2 2 (a) (f + g)(4) f(x) 3 3 2 1 (b)…

A: Given:

Q: A 1.Find the domain of following functions: a.f (x) = {(2,6), (3, 9), (7, 11), (4, 0), (-1, 12)} and…

A: We are asked to find  domain and composite of the function

Q: City X Airport (ft) y Augusta 235 Albany 285 Springfield 235 San Francisco 11 "art 1 of 4 The set of…

A:

Q: The domain of f (x) = -x + 4 is {0, 1, 2, 3}, what is the range? O {0, 1, 2, 3} O {1, 2, 3, 4} O…

A:

Q: Use the graphs of f and g to evaluate the function (a) ( f ∘ g)(1) (b) (g ∘ f )(3).

A: To evaluate the function (a) ( f ∘ g)(1). (b) (g ∘ f )(3).

Q: The function g is defined by g(x)=) Which of the following is the value of g(60)? i-3 (1) 47 (3) 54…

A: given,

Q: Evaluate the function for the indicated values. f(x) = 4[x - 9] - 6 (1) S(-2) (ii) F(-9.7) 3. (iii)…

A:

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: 3. y In the functions given, f(x) =# x+2x² : g(x)=3x²-1 Find f + g,f - g.fg. andand state their…

A: Solution : The objective is to find the required values

Q: The graphs of two functions f and g are given. Use them to evaluate each of the followine (-1, 7) 9.…

A: topic - composite functions

Q: 5 Let f(x) = - and g(x) 7 Find each of the following: x - 8 b. the domain of f – g. | а. (f — g)(x)

A: Assign the function f=5x=5x-gxxAssign the function g=7x-8=5x-7x-8=-2x-40xx-8

Q: Find the domain. f(x) = 7x - 1 O {x[ x is a real number and x + 0.1428571 O {x[ x is a real number…

A:

Q: If (1, a), (b, ), (c, 17) are points on the graph of the function h(t), which points are on the…

A:

Q: (-5-х-4):(-2-х-9) Let f(x) = (4:x-2)-(5.x+3) Indicate which of the following points x are in the…

A:

Q: Find the inverse of the given relation. R= {(-6, 6), (–11, 7), (–1,9), (4, –9), (9, 8), (2, –6), (6,…

A:

Q: Use the graphs of f and g to evaluate the functions. (a) (f.g)(1) (b) (g. f)(3) A 3 2 1 X y = f(x) 1…

A:

Q: The function f(x) has been transformed to y = -2f(-x+3)+1, which has resulted in the mapping of (4,…

A: We have to find correct option using given data. Concept required:

Q: 2. Let h(x) be the relation graphed below: (-2, 0) (-7,-4) (-4,-4) (0,4) (2,0) (4,-4) (a) Is h(x) a…

A:

Q: The inverse relation of the relation r (in red) is the relation r -3 in black in blue in red in…

A: In the given figure, we have to the inverse relation for the red figure

Q: Given f={(-2,6).(-1,8), (0, 5), (1, 0), (2,-2)} and g(x)=x² +1, a) Graphf-g

A:

Q: Use the graphs of f and g to answer the questions a) Find following values (i)(f+g)(-3) (iii)…

A:

Q: Determine g(1.3) for the function g(x)=2[x]+5

A: To Determine g(1.3) for the function g(x)=2[x]+5