The graphs of two functions, f and g, are illustrated. Use the graphs to answer parts (a)–(f). y=g(x) |(2, 2) (4, 1) (6, 1) (6, 0) 22, 1) 2 (3, –2) (5, –2) (4, –3) (a) (f+ g)(2) (b) (f + g) (4) (c) (f – g) (6) (d) (g – f) (6) () ()(4) (e) (f•g)(2) 2.

Q: (x-4)(x-3) Determine the points of discontinuity for the function f(x): = (x-3)(x+2) a. (3.- 1/3) 5…

A: To determine the points of discontinuity for the function f(x)=(x−3)(x+2)(x−4)(x−3)​ , we need to…

Q: 2 Given the functions f(x) = 3x - 2 and g(x) = x² + 1, find: a. f(x) + g(x) b. f(g(x)) c. (f - g)(4)…

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Q: The functions f and g are defined as f(x) = 2x – 1 and g(x) = x² +1. Which of the following…

A: h(x) = g(f(x)) is called composite function of f(x) and g(x).  Here the value of of function f(x) is…

Q: x-1 3. If f(x) = 2x + 1 and g(x) = , then f(g(x)) = ? 2 a. x-1 b. 4x+2 5x+1 C. 2 (2x+1)(x-1) d.

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Q: The domain of the function f(x): 11x+8 is x+4 • R-{-4} 10 • R • R-{8} • R-{11}

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Q: Use the given graph of y = f(x) to graph the function g : g(x) = f(x - 2)

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Q: The function f(x) = (x-6)2 +2 has a vertical shift of how many units? O -6 O - 12 O 2

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x)…

Q: For f(x)=x+1 and g(x)= 2x +5, find the following functions. a. (fog)(x), b. (g of)(x), c. (fog)(-2),…

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Q: Use the graph of the function below to find: a) Coordinates of its vertex (h,k)¸ b) Intercepts. c)…

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Q: y = d(x) d. -10 -8-6- 2 4 6 8 -8 -10 d. Is the function above odd, even, or neither: 2.

A: The graph of the function is To determine: Whether the function is odd, even or neither.

Q: Which graph represents the function y-2sin(x-x) +1? A. 3r/2 O B. 3n/2 3rt/2 m2 3n/2 3n2

A: Graph

Q: If(5, –2) is in the function f (x), then which of the following points will be in the function f'…

A: Given that (5, -2) is in the function f(x). So, we have f(5) = -2 and hence f-1(-2) = 5. Thus, we…

Q: 1 1-) f(x) = ?+ 2x - 1

A: The graph of the given fuction Drwan in the last step , at first we describe how t

Q: a. Find x- and y-intercepts y = f(x) 2 -5-4 i 2 3 4 5 b. Determine if graph is a function c. Find…

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Q: · Let f(x) = 8x? and g(x) a. Find (f+ g)(x). b. Find (f – g)(x). c. Find (f g)(x). d. Find (스) (x).…

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Q: The function S (2) = x over the domain (0, 00) is shown. 10

A: Inverse function is find by switching x into y and y into x , then solve for y .

Q: Sketch the graph of f.

A: Consider the given function. fx=x2+x2x-1x2-3x+22x-1 First, simplify the function.…

Q: For f(x) = 5x - 3 and g(x) = 2x2 – 5, find the following functions. a. (fo g)(x); b. (g o f)(x); c.…

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Q: Write a function of a square root BLUE graph in the form: f(x) = a/x±b ± C (4, 2). |(-2, –3) (2, –7)…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function, y=f(x)±n.…

Q: 4. Graph the functions f (x) = 2(x + 6)² + 2 and its inverse.

A: The given function is f(x) = 2(x+6)2 + 2  When we put x = 0, the value of f(x) comes out to be…

Q: (X). Give the domain of each. Let f(x) = 3x + 2 and g(x) = 2x-3. Find (f+ g)(x). (f-g)(x), (fg)(x),…

A: Given that f(x)=3x+2 g(x)=2x-3

Q: Add the given functions (f+)(x)

A: Given f(x)=x-6 and g(x)=x-6we know that (f+g)(x)=f(x)+g(x)

Q: Specify the symmetry of the following functions: 10 (d) 0(x1, x2) = e-l#il X2+3

A: We need to find the symmetry of the function in part (d). We know that a function f is symmetric if…

Q: The point (2,6) is on the graph of y=f(x). What are the coordinates of the image of this point on…

A: The solution is given below