Sketch the graphs of the functions. O O f(x) = x³ + x² - 2x and g(x) = 0 L -8 -6 -4 -2 y 8 6 4 2 -2 2 4 6 8 X ( y 8 6 + -8 -6 -4 -2 4 6 8 -2 -4 -6 -8 Ⓡ -8 -6 -4 Find the area of the region completely enclosed by the graphs of the given functions f and g. square units +2 6 -2 -4 -6 -8 2 4 6 8 X ( O -8 -6 -4 -2 6 4 2 -6 -8 2 4 6 8 X Ⓡ

Q: If f(n) and g(n) are multiplicative functions, and g(n) does not equal 0 for all positive integers…

A: Definition 1 : A function f: ℕ→ℂ is said to be arithmetic function .   Definition 2 : An arithmetic…

Q: 8 -6 -4 -2_2 -4 -6 -8 -10 2 4 Match the following expressions with their graphs. The red graph is…

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Q: + The Range of y [2x + 1] is Z. %3D TO FO

A: We can use the concept of function In order to solve the given problem.

Q: 3. Sketch the graph of the polynomial function. Make sure to label the roots and y-intercept (g) 1(r…

A: see below the answer y-intercept is calculate y when x=0 And the y=intercept and roots of the…

Q: Divide the first function by the second function. 1. f(x) = - 2x and g(x) = x² X. 2. f(x) = 3 + x…

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Q: Use the polynomial function graph, which include all extrema, to determine each of the following.…

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Q: Select the graph of the function. 2x +1 x<0 f(x)= 1-x x20

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Q: 1. Refer to the given functions f, g, and h to evaluate the functions for the given values of x.…

A: a. As (f-g)(-1) = f(-1) - g(-1) So (f-g)(-1) = [(-1)2 - 3(-1) + 1] - 8 - (-1)                = 1 + 3…

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)…

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Q: 1. Match each function below with its graph. f(x) = -x++ 2x² + x -8 g(x) = x3 + 3x² -x +5 h(x) = -x5…

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Q: Direction. Write the letter of the correct answer on a separate answer sheet of paper. 1. The…

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Q: The function j(x) is a sum function of f(x) ands g(x). If f(x)=x2+4x+4 and g(x)=x2+(k-16)x+k,…

A: Given: f(x)=x2+4x+4 g(x)=x2+(k-16)x+k j(x) is a sum function of f(x) and g(x) j(1)=0

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Q: 1. Find the domain of the function. f(x) = 9(x + 9) %3D What is the domain of f? O A. (-0,0)U(0,0) O…

A: It is easy to see that the function is defined for all x.

Q: 30. Determine the point of inflection of the graph of f. f (x) = x3 – 3x? O (3, 0) O (1,-2) O (0, 0)…

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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

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

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A: Please refer to the detailed solution.

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Q: Select the choice that is a graph of the function f(z) = - 4- I – 3 (x + 3)(x – 4) 4 -5 2 -3 -5 -2…

A: Given:            x- axis interception points of f(x) : (3,0)    y- axis interception points of f(x)…

Q: 4. Assuming that the domain of each of the following functions is the largest possible subset of R,…

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Q: 1. (a) Use the given values for f(x) and g(r) to fill in the following table: f(z) g(z) f(9(x)) -4…

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Q: Based on the graphs of f(x) and g(x), what must the domain of (f. g)(x) be? 10 8 7 6 5 2 g(x) 1…

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Q: For the real-valued functions f(x)=x²-1 and g(x)=√√x-2, find the composition fog and specify its…

A: Solution:Given: we have to find the composition and specify the domain using interval notation