3. Given f(x) = x + 1 and g(x)=x² - 2x - 3 a) Graph f(x) and g(x) on the same axis. V b) Use the graphs from part a) to graph (f×g)(x) X f(x) g(x) (fx g)(x) -M -10 c) Determine the algebraic model for (f×g)(x) in simplified form. -2 T.. 9 8 7 • * t -3 -4 -5 -0 7 -8 -9- RS]

Q: (2) For the f(x) = -x3 + 3x + 6 determine the coordinates of the turning point(s) and any point(s)…

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Q: f(x+h)-f(x) for g(x) = 4x²-3x h 5) Find the difference quotient, i

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Q: What is the end behavior for this equation? f (x) = (x+3)² + 1 O As xxx, f(x) →→→→∞, and as a →→→→∞,…

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Q: With f(x) = 4 – 3x and g(x) = 2x2 – 3x + 1, find: a) f(5) b) g(-2) c) f(4 – 2y) d) g(x + 4)

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Q: Given f(x)=√x + 10 and g(x)=√x + 10, determine the equation of (f x g)(x).

A: We know that the formula(gg)(x)=f(x)*g(x)

Q: Letf(x) = x² – 5x + 6, g(x) = 5x – 1, find the following: (1)(f + g)(x) = (2) (ƒ − g)(x) = - (3) (ƒ…

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Q: The graph of P(x)= a (x-b)(x+1)2(x-2) passes through (0,6). The value of b in the terms of a, is?

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Q: r(x)= (x+1)(x-3) over (x+3)(x-4). Find the x intercepts

A: Given query is to find x intercepts.

Q: Find the domain of (f + g)(x) when f(x) = 2x + 5 and g(x) = 4x - 2

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Q: f(x) = (x + 13)(x – 13) Convert to Standard Form and Find the x-intercepts

A: Given that: f(x)=(x+13)(x-13)

Q: What is the end behavior for this equation? f (x) = - (x+3)² +1 As x-∞, f (x) →→→→→∞, and as →→→∞, f…

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Q: The graph of the function h(x) = (gf)(x) passes through the point (2, k), the graph of g(x) passes…

A: Given:The graph of  passes through the point The graph of  passes through the point .Objective:Find…

Q: Then (fog)(x) = (fog)-¹(x) = (f ¹ og ¹)(x) = (g-¹ of ¹)(x) = f(x)=x+4 and g(x) = 2x - 5.

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Q: Convert f(x) = x² + 8x - 4 to vertex form O f(x) = (x+4)² - 20 O f(x) = (x-8)² - 4 O f(x) = (x+8)² -…

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Q: What is the smallest value for a such that (a,0) is an x-intercept for the graph of…

A: If point a,0 is an x-intercept for the graph of fx=4x3+11x2-8x-15, then it must satisfy the…

Q: (2) For the f(x) = -x³ + 3x + 6 determine the coordinates of the turning point(s) and any point(s)…

A: Turning points: Let fx be a continuous function. A point c is said to be a turning point, if f'c=0.…

Q: How does the graph of g(x) = 4x + 5

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Q: Write an equation for P2 (x) such that R(x) has no y-intercept R(x) = P₁(x) = Q(x) + R P₂(x) P₂(x)…

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Q: find (a) (f + g)(x), (b) (f - g)(x), (c) (fg)(x), and (d) (f /g)(x). What is the domain of f /g? i.…

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Q: What is the end behavior for this equation? f(x)=-3x² - 4x +7 As x-∞, f (x)→→∞, and as a →→∞, f (x)…

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Q: If the point (3, 11) is on the graph of f(x), what point is on the graph of g(x) = - 2f(x+3)? О (0,…

A: The point 3,11 is on the graph of the function fx. To evaluate : What point is on the graph of the…