In Problems 13–24, find the domain of each rational function. 5x? 4х -4x? 13. R(x) 14. R(x) \15. H(x): 3 + x Зx (х — 1) 2x2 - 5x - 3 (x – 2) (x + 4) -x(1 – x) 3x? + 5x - 2 X - 3 16. G(x) : 17. F(x) 18. Q(x) (x + 3) (4 - x) 3x2 + x x + 4 -2(x2 - 4) 3(x + 4x + 4) 19. R(x) 20. R(x) 21. Н(х) x - 8 x -1 - 6) 4 (x – 9) X - 3 3(х3 — х — 22. G(x) : 23. R(x) 24. F(x) X* + 1

Q: (2) Find the derivatives of the given functions. 12 (a) h(w) = 3w? + w2 0- 1 (b) y% = (c) AP if V…

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Q: 4. Find (f-g)(x) if f(x) = -2x + 4 and g(x)=x²-3x+5. O (f-g)(x) = -x²+x-1 O (f-g)(x)=x²-5x +9 O…

A: Topic - Functions We are givenf(x)=-2x+4,g(x)=x2-3x+5

Q: 5. Suppose f(x) = 3x-1 and g(x) = 4x+3. Find f(g(2)).

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Q: f f(x) = 4x + 5, what is the value of fl-3)? 1) -2 (3) 17 2) –7 (4) 4

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Q: L 1. Find (f. g)(x) if f(x) = x²+2x+4 and g(x) = -2. O (f.g)(x)=x³-4x²-8x+8 O (f.g)(x)=x³+4x²+8x-8 O…

A: Find the (f•g)(x)

Q: What is the change of y with respect to x of the function s(x) = (3x¹ + 9x³)(x² - 6x +9) ? -9x²…

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Q: Suppose f(x) = 9x 9 and g(x) x2 + 5x + 8 (f o g)(x) = %3D

A: f(x)=9x-9g(x)=1x2+5x+8f ο gx=f(g(x))put x=g(x) in f(x)

Q: Domain of g-¹ (x) ;.

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Q: 1. Find for y = In () (A)+ 1 3x-2 X-1 1 x-1-x2 (B) x2 - -- x-1 x (х-1) x2 x2(x-1) x-1 1 X-2 (D) (E )…

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Q: 4. Find the inflection points of f(r) = x-4r + 18x2-6x+1

A: To determine the inflection of the given function.

Q: If f(x) = 3x³ + 1 and g(x)=2x-1, then g(f(-1)) = −5 . true false

A: f(x)=3x3+1 g(x)=2x-1.

Q: K 19. (fog)(x) 21. (gof)(x) If f(x) = -3x² and g(x) = 9x + 2, find: 20. (fog) (5) 22. (gof) (-2)

A: Given functions: fx=-3x2 and gx=9x+2.   Note: As per our guidelines, we are supposed to answer only…

Q: 1. Iff(x) = 2x² + 3x + 5 and g(x) = 4x + 3, find x if 4g(x) = f(x)

A: Given:  and To find: The value of , when .

Q: Given f(x)=x²-1 and g(x) = √2x + 2 Which of the following have the same domain? Select all that…

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Q: If one root of f(x) = x2 − 4x + 5 is 2 + i, what else do you know?

A: f(x)=x2-4x+5                                    One root is:=…

Q: 1. f(x) x² - 49 x² - 6x - 7

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Q: If g(x) = 3x2 + 2x- 4, find g(-3). %3D

A: In this question we have to find the value of g(-3)

Q: (8) If f(x) = x² – 3x, what is f(x +h) - f(x) =? h (x² + 2xh + h²)-3(x+h)-(x²-3x) = 2x – 3 + h (x² +…

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Q: 10. What is the domain of the function f(x) = √2x + 6? Show your work

A: The given function fx=2x+6. We have to find the domain of the function.

Q: 11. Compute (fog)(x), (fog)(-2), (go f)(x), and (go f)(-2) for each pair of functions. (a) f(x) = x²…

A: (a) :(f o g)(x)  = 9x2-21x-6(f o g)(-2) = 72(g o f)(x)   = -3x2+9x+14(g o f)(-2) = -16 (b)  :(f o…

Q: 2. If f(x)=((-4,4)(-3,0)(-2,8)(-1,-2)(0,-4) (1,5)) and g(x)=((-3,0)(-1,6)(1,-4) (3,-2)), determine…

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Q: 13) h(x)= 4x – 2; Find h(x +2)

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Q: Why will f(x)=2x² + 5x X have no zeros?

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Q: 16. If f(x) = 3x + 1 and g(x) = x² + 2, then (gof)(x) = (o = composition)

A: Given that, f(x)= 3x+1 g(x)=x^2+2 We have to find (gof)(x)

Q: 51. f(x) = √2-3x²; f''(x)

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Q: 1) g(x) = 2x + 8

A: given function g(x)=2x+8 on diffrentiating this function we get

Q: f(g(h(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…

Q: If g(x) = 3x2 + 2x - 4, find g(-3). %3D

A:

Q: 5. During which intervals of x is the graph of the function f(x) = - (x + 3) (x + 5) (x – 1) below…

A: NOTE: Refresh your page if you can't see any equations. . here we need to find the interval where…

Q: 11. Find the x-intercepts for g(x) = 4x -16x² - 48x

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Q: 2. If f(x) = x² + 4x + 6, which of the following is equal to f(x + h)? (A) x² + 2xh+h² + 4x + 4h + 6…

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Q: X 11. Find f (9(x)) and 9(f (x)) for the pair of functions. f (x) = a² + 1 g(x) = x – 10 f (g(x))…

A: The given function is: fx=x2+1gx=x-10 To find the value of fgx and gfx