1 (a) ƒ (kx) = 2x+1_2²²₂ = - 2*, x = 1, 2, ..., N, and zero elsewhere (b) f(x)=p(1-p)*, x=0,1, 2, ..., and zero elsewhere; 0

Q: a = < x, y, 1 >b = < 1, -1, 3 >|a| = (14)^(1/2)/2a•b = 5Find all possible values of x…

A: As we know dot product and given information

Q: 1 f(x) = 1. a = -2 x + 2 1 if x + -2 2. f(x) = x + 2 a = -2 1 if x = -2 + 3 if x -1

A: See the attachment

Q: For the function f(x) = !!x2 + 3 find f -1(x)

A: the given function isf(x)=x2+3to find f-1(x)

Q: Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no…

A: We need to find asymptote and intercepts.

Q: x+ 6x +7 f(x) = {-x + 3 5 if x < -1 if -1<x<3 if x 2 3 f(2) = %3D f(-1) = S(-7) = S(3) =

A: The given step function is f(x)=x2+6x+7if x&lt;-1-x+3if -1≤x&lt;35if x≥3

Q: 3. (a) Which of the following functions have 5 in their domain? f(x) = x² - 3x *- 5 h(x) = Vx - 10…

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Q: If f(x) In - In( + o). + e6x, find f (0).

A:

Q: • Find f" (3) for f (æ) = x³ – 2x4 + æ³ + 2x? – 7x + 3. showing the steps in your process. - -

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Q: If h(x)  =   x  +  1     if x˂  -1                               2  + 2x    if x ≥  -1        Find…

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Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: What is the point of intersection for f(x) = 2* and g(x) = A (1,) (0,1) C (1,0) (2,4)

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Q: Find the interval of increase of p(x)=x2+5x+6

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Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

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Q: If f(x) - [4x - 3 (a) f(-3) (b) f(0) [D D D (c) f(1) (d) f(3) if x ≤ 1 if x > 1' find the following.

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Q: 2x +3 and g(x) =4, find f(g(2)). x-1 5. Given f(x)

A: f(g(x))=fx-1xf(g(x))=2x-1x+3

Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: What happens to the values of f(x)=(x2-2x-3)/(x2-3x) as x ->0 ?

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Q: lim [x² + 3x – 5]

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Q: f(x) =  x2   if x < 0 x + 3      if x ≥ 0 f(−2)  =    f(−1)  =    f(0)  =    f(1)  =    f(2)  =

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Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…

A: Given query is to find the derivative of the expression.

Q: What is f(x)* h(x) if f(x)=6x²-2X+2 and h(x)=, 1?

A: f(x) = 6x2-2x+2  h(x) = 1/2x

Q: if x 0 find: (a) f(-2) (b) f(0) (c) f(2)

A: Given,

Q: -5 -4 -3 -2 -1 As x → 1- As x → 1+ I f'(1) = > 10 4 3 2 1 3 5 1 2 (b) Use the definition of a…

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Q: f(x) = x – 1 m(x) = 3x + 2 h(x) = -4 g(x) = x2 – 5x + 4 4. (m • g)(x) 5. (mof)(x) 6. (g - f)(x)

A: (m×g)(x)=m(x)×g(x)given:m(x)=3x+2 and g(x)=x2-5x+4(m×g)(x)=(3x+2)(x2-5x+4)=3x3-13x2+2x+8

Q: (x) = 2x - 3           x = 5 Compute f -1 (x

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Q: The domain of f' is 1 (Type your answer in interval notation.)

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Q: differentiate f(x) = O O O O - 1 1 9x2+ 13x-5 18x + 13 (9x²+ 13x - 5) 3/2 1 (9x² + 13x - 5) 3/2 18x…

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