Q 2. (1) Discuss the continuity of the function f(x) = {x - 3x if x < 2 ( 2x + 4 if x 2 2 on the open interval 0 < x < 2 and on the closed interval 0

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: (i) Discuss the continuity of the function f(x)= x^2-3x        if x&lt;2…

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Q: 6. #(4,-2) is a point on the graph of y f(x), what point must be on the graph of y (2x)? (2,1)…

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Q: (a) Two functions are given as follows: f(x)=3x+2 2 g(x)= x-1 (1) (ii) Determine the function…

A: Given problem:- 2. (a) Two functions are given as follows:            f(x) = 3x + 2           g(x)…

Q: if a 2 -3 Sketch a graph of f(x) 4 5 4 -3 -2 -1 -1 2 3 4 -2 %24 2.

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Q: Q.4 (a) Evaluate (+4+16r²+20x+9 dx. (x+2)(x +3)?

A: Let us solve the integral ∫3x4+4x3+16x2+20x+9(x+2)(x2+3)2 using partial fractions.  The denominator…

Q: 18. 2. If f(x)=3x²-7 for all real numbers x, which of the following is equal to f(3) +ƒ(4)² A. S(0)…

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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: Determine the domain and/or the range of the following function. 2х-1 [1] f (x) = (Domain only)…

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Q: values

A: We will find the value of x between 0&lt;x&lt;10.

Q: -4 if x1

A: The given function is: f(x)=-4        if  x&lt;-2(x+1)2-1    if  -2≤x≤1-14x+2if  x&gt;1

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: If f(x) = 3x - 4 and g(x) = 6x² + 8x +1 find 1. f-g (x) 2. g + f (3) 3. f* g (5)

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Q: The critical points of the function f (x)=x' – 9x² +8 are

A: For critical numbers we put f'(x) = 0

Q: Use de Moivre’s theorem with n = 4 to prove that cos(4θ) = 8 cos^4 (θ) − 8 cos^2 (θ) + 1

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Q: 1.Find g(f(4)) 2. Find f(h(5)) 3. Find h(f(-2)) 4. Find f(g(x))

A: