X+6 Let f(x)= and (hof)(x)= 4x-7 Then h(-3)= %3D 3x-8 5х-6 9. 8 O 43 73 32 51 97 168 1 15

Q: B. Find the domain of 1. h(x) = V(x - 2) (x 2 -2 x + 1) 2. (x – 1)(x + 3) 1. 3. If f(x) = -1 and…

A: h(x) = (x-2)x-2 ≥ 0 because square root of -ve number is not defined or a imaginary number.x-2 ≥ 0 x…

Q: 1 then (f o g) (5) If f(x) = 4x – x2 and g(x) | 2 4 A 7 B -2 7 D 4 - 2

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Q: #2 Given: F(x) = 2x 2+ 1, G(x) = 2x - 1, H(x) = x F(-2) = 9 -7 17

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Q: 3x and g(x) x +3 x +1 If f(x) = then (f o g)(x) is 4x 3x + 3 13х + 3 Зх + 2 13x + 2 3x + 5 13x + 5…

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Q: Example: P() is p.d.f. kx 0 <x<1 (1)Find the constant k. p(x) ={ (2) p(0.3<x< 0.8) elsewhere (3)…

A: the following PDF is given in the question px=k x           0&lt;x&lt;10              elsewhere (1)…

Q: x²+4 f(x) = %3D Jx2- x-6 find the do o main and range

A: Graph of the function is shown below

Q: 5. Let g(x) = x2 - 3x + 5. Find g(-4). | a) g(-4) = 1 b) g(-4) = 33 c) g(-4)=-23 d) g(-4) = 9 %3D

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Q: x + 2 x² – 2x - f(x) = x2 – 1 2x – 5 3 O Does not exist None of the above

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Q: x-1 3. If f(x) = 2x + 1 and g(x) = , then f(g(x)) = ? 2 a. x-1 b. 4x+2 5x+1 C. 2 (2x+1)(x-1) d.

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Q: 4. Given f(x) = 2x +1; g(x) = 5x - 3. Find the product of f and g. A. 10x+x-3 B. 10x-x+3 C. 10x +x+3…

A: We find out the product of f(x) and g(x).

Q: 8x + 15 22 + 4x +3 Let f(x) and g(x) x2 -2x -3 x2 - 9x+20 (f - 9)(x) = The values of x that are…

A: The function (f.g)(x) can be defined as (f.g)(x)=f(x).g(x) Given: f(x)=x2-8x+15x2-2x-3…

Q: (r-1) (x-1) If f(x) = (2x+5) and g(x) = then the function (2) (x) is (2x-5) (2x+5) a) (E) (x) =…

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Q: 8 Where does the graph of the function hx) = x*+3x-4 cross the x-axis? A. x= - 2 and x 2 B. x= - 2,…

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Q: (x-1) If f(x) = (2x+5) (х-3) and g(x) = 3 then the function (2) (x (2x+5) ) is %3D a) () «) = : b)…

A: Given: f(x)=(x-1)(2x+5) and g(x)=(x-3)(2x+5)

Q: 4x and g(x) = x +3 x +1 then (f o g)(x) is If f(x) = 5x 4x +1 16х + 1 4x +3 16х + 3 4x + 4 16х + 1…

A:

Q: 2x-3 3. Let f(x) = 3x+4' ,find Y as Ax -0 Ay

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Q: 3. Let h(x) = 2x - 3 and g(x) = 5 - x   a) Find h( g(2) ) b) Find h( h(x) )

A: 3. Let h(x) = 2x - 3 and g(x) = 5 - x (a) Find h( g(2) ) (b) Find h( h(x) )

Q: f(x) = 2x + 5 g(x) = 3x – 5 and h(x) = 2x + 3 2 x Find:- i) f(-4) = ii) g[f(2)] = iii) f[g(-3)] =…

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Q: x -> 0

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Q: X x-6 (a) f(x + 1)) 7. f(x) = 8. [x²-3, x≤-1 x + 4, x>-1 g(x) = (a) g(-2)) (b) f(0) (b) g(3) (c)…

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Q: f(x) = 3x + 6 g(x) : = 2x2 + 2x – 4 t(x) = -4x² – 9 и(x) — х — 5 w(x) = x² + 2x – 5 p(x) = 2x + 3 1.…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: x³dx √1+x² (A) / (1+x³)³/² + (C) &n[√x - √₁ + x² + c 31. If I = f- then I equals to - " (1+x³) ³/²…

A: Follow the procedure given below.

Q: kx,0 6

A: From the definition if the function is probability density function then, ∫-∞∞f(x)dx=1 Here,…

Q: e3x 3. f(x) = x6 O a. 3e3x f'(x) = x7 O b. f'(x): Зе2х (х-2) x7 Зе3х (х-2) f'(x) : x6 O d. f'(x) =…

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Q: 9. f(x) = 2x + 2, h(x) = -2x – 5 find (g o h)(-4 + x) 10. f(x) = 2x, g(x) = -x – 4, find (f o g)(x)

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Q: -T<x<0 | find b let f (x) =. x2 0<x<n .a (-1)"(2–n²n²) – 2 | n³n .b (-1)"(2–x²n²) n3 .C (-1)…

A: The solution is given as

Q: For #2 I need help on how to find the domain

A: Definition of Domain: A domain of function is set of all the values for which the given function is…

Q: Rx) = 9x + 4, g(x) = x2 + x (a) fog (fo g)(x) = (-00,00) domain (b) gof (go n(x) = (-00,00) domain…

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Q: 3) Let g(x) = x5 - 8.6x* + 38.782x3 – 17.25x2 – 4.5927x + 10.5 then the value of g(0.25 x 10) = -…

A: Given that: g(x)=x5-8.6x4+38.782x3-17.25x2-4.5927x+10.5

Q: 2 A3.a Let f(x)% = be the generating function and g(x) = be the 1+3x 1-5x generating function. Then…

A: We have to find generating function here.

Q: (b) g(x)=√x + 12 1 -1 -21 g(x) = -3 √x + color 3 13 - x 5

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Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

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Q: f(x)g(x) Let k(x) = If f(x) = 3x + 2, g(x) = 3x – 4, and h(x) = -x² – 2x + 4, what is k' (1)? %3D…

A: Given that K(x)=[f(x)g(x)]/h(x) If f(x)=3x+2 , g(x)=3x-4 and h(x)=-x2-2x+4 , we need to find K'(1).

Q: 2² +x-12 a Given f (x) = g (a) = x² +6x+5 x² +3x-18' find (fg) (0)? x2 -1 3 10 10 3 10 10

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: x +2 if x > 0 í 2x – 1 if x 2], [g < -2], and [g² < 4]. Given g(x) = %3D

A: What are the meaning of the given sets?

Q: f (x) = 2x+3 %3D g (x) = 3x+ 2 What does (f- g) (x) equal? O-5x+1 O -x+1 O 4x-1 O x+1

A: Given : f(x)= 2x+3 g(x) = 3x+2

Q: X₁ + X₂ Q2: Let X₁-G(4,3) and X₂G(2,3) by mgf find dist. of Y=X₁ +X₂. ===

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Q: h(x)=-x+3 g(x)=-x 2 +3x Find h(-3) + g(-3)

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Q: 4. f(x) = a = 0 x2-4x %3D x2+4x x?-3,xミ-1 5. f(x) = {x- 1, x>-1 こa=-1 %3D

A:

Q: x3 - x2 - 12x (b) f(x) = a = 4 %3D x - 4 O The discontinuity is removable. O The discontinuity is…

A: Since you have asked multiple question, we will solve one question for you as per our guide line. If…

Q: p(x) p(x) = (x2 - 9) (x - 2) P(X)=x + 2x - 9x - 18 p(x) = x - 2 + 9x + 18 P(x) = (+ 9) (x - 2) 0000

A: To find the polynomial in which the graph has the zeros at x=-3,2,3

Q: 2x-3 5. Let f(x) = find as Ax - 0 Ax 3x+4'

A: Given that: f(x)=2x-33x+4

Q: 3) Let g(x) = x3-8.6x* + 38.782x - 17.25x - 4.5927x + 10.5 then the value of g(0.25 x 10) =

A: Function value at x=2.5

Q: Given: F(x) = 2x 2+ 1, G(x) = 2x - 1, H(x) = x F(x) + G(x) = 2x²+2x 2x²+2x+2 4x³

A:

Q: 3x and g(x) = x +1 If f(x) = I +3 then (fo g)(x) is 4x За + 2 13x +2 on 3x +3 13x +3 3x + 5 13x + 5…

A: We have to choose the correct answer

Q: 3 f(x) 2dx=-3, [(g(x)-2)edx = 1 [2g(x)xx =10 and f-g(x)h =-1.2 Let 4 -2 Find [(f(x)-3)cdx

A: Given : ∫-24fx4dx = -3, ∫-20gx - 2dx = 1 , ∫432gxdx = 10 and ∫04-gxdx = -1.2   To find :…

Q: 1 and g(x)=x² +2, then go fmay be expressed as x-2 axa + 2ßx + ¥ χα + βχ - β If f(x)=- g(f(x)) = =…

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Q: 5. Let f(x) = ab". Determine the constant b so that f(-1) = 10 and f(2) = :.

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Q: 2xvx2 + 1 Find g(a – 1) if (g ojof•h)(x) where f (x) = x + 1 , %3D x² + 1 h(x) =, and j(x) = Vx .

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Q: 5 e2x_x²+1 x³+2x²+4 find f' ( x II

A: