(i) k (ii) P(X< 2) (iii) P(2

Q: x

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Q: (e) x² - 4x+4 <0

A:

Q: Let f(x) = x2 + 5 and g(x) =    x + 5 . For the given value of x, is it possible to find (f +…

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Q: 2 nd the domain of the function f(x) : (x² – x – 12)(x2 + 1)

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Q: If f(x) = 4x-5 if -4≤x≤2 3 x-2 (a) f(0) = (b) f(1) = (c) f(2)= (d) f(6)= if2<x≤6 find: (a) f(0), (b)…

A: The given function is

Q: ALL WORK MUS BE SH WN O P(x) = x³ - 6 find p(x)

A:

Q: -2 if x 2 Find h (-4), h (1), and h (2).

A: GIVEN : h(x)={  -2                             if x&lt;-2  -(x+1)2 +1            if -2≤x&lt;2  -14x…

Q: If h(2) = 7, h0 (2) = −5 and g(x) = h(x) x , then g 0 (2) = . . . (2) (a) − 17 4 (b) −5 (c) − 5 2…

A: Given:       h2=7        h02=-5       gx=hxx

Q: k(x) = (4x² + 5x). Find f(x) and g(x) so that k(x) = ( • g)(x) %3D

A:

Q: Find a function f(x) so that h(x) = (gof)(x) given that -2x³ – 6x² 6x² + 5x+1 and g(x): = h(x) =…

A: (g∘f)(x) = g(f(x))

Q: 2 P(x)=x-5x + 2x+8 = (x − 4)(x − 2)(x + 1)

A:

Q: Evaluate (a) Ex=0 Xp(X) and (b) Ex=0 X² p(X), where p(X) = (Np°q\ -x. %3D

A: The expectation of a discrete random variable X is a measure of central tendency of the probability…

Q: 2 (b) {(x1, x2) x = x²} CR² : (c) {(x1, x2, x3): x₁ = 2x2 + x3} CR³ X1

A:

Q: 7 f(x) = 6 x² – 20 x* + 4 find f (4) (x).

A: We have to find 4th order derivative

Q: h(x) = (7 + x)3 (x) = n=0

A: From the expression of the Taylor series:   fx=∑n=0∞fnan!xn......(1)   Given; hx=x27+x3 Let centered…

Q: Given the P(x)=(x=1) (x+1) (x-1) (x+5) make a table of values of the p(x)

A: The given function is: P(x)=(x+1)(x-1)(x+5)

Q: 4) Given f(x) = 7x + 2, find f-(x). (A) 7x + 2 I- 2 (b) 7x + 2 «) (d) - 2 7 (c) None of these

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Q: 3x + 7 if x -2 Of (1) = 10 and f (1) = 7 Of (1) = 11 Of (1) = 7 None of these Of (1) = 10

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Q: If f (x) = - 20 and g (x) + 11 , then (fo g) (4) is O -7.00 O-8.00 O -6.00 O -5.00 O-9.00

A: Substitute the value of g(x) in f(g(x))

Q: Suppose f (x) = Evaluate: A : B D o

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Q: 13. Find the correlation coefficient between X and Y if the joint pdf of X and Y is given by

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Q: What is the solution set for x+1/x(x+2)?

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Q: -1 Let g(x) = 8x + 16 and f(x) = = ax + b. If g(x) = 2f(x) find 8ab.

A:

Q: 57x-10 for x 31 Let f (x) = %3D Find f(10)= a. b. Find f(35)=_

A: *to find:- a. f(10). b. f(35).

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: f(0)=2 and f(n+1)=3f(n)-1. Find f(4)

A: To find f (4), obtain f (0), f (1) and f (2) as follows.

Q: Express f(x) in the form f(x)= (x- k)q(x) +r for the given value of k. f(x) = 4x + 6x³ - 13x² + 20;…

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Q: f(x) = x+1| %3D x2 + 15

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Q: f (x) = -3x2 + 3x – 3 and | x 9

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Q: 1) Given f(x) = -6x +5 and g(x) = 2x + 3 b) Find f (f ¹) (2)

A: We need to find f(f-1)(2).

Q: f(x)%3D4×+2x2 - x³ for -5 <x s 5. |

A:

Q: Let f(x) = 9 + x + x² and h = 0. (a) Does f(9 - 1) = f(9) + f(1)? Yes O No (b) Find f(x + h). (c)…

A: The given function is; f(x)=9+x+x2

Q: f(x) = - 2x² + x - 4 if x < 4 1 =x + 3 4 if x ≥ 7

A:

Q: g(x) = 4x + 4 f(x) = x³ – 1 Find (go f)(x) g composition f is 4p3 Select one: O True O False

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Q: 12x iet f (x) = 2x-17 for x 10 a. Find f(4)=_ b. Find f(24)=.

A: The probability density function is fx=12x-17 , for x&lt;106x+2 , for x≥10.