10. Given: f(x) 3= d) tan(A – B) and g(x)=x² +8 x- 5 Find: a) (f-g)(x) (g •(8))(x) i) (g-f)(3) b) (x) f) s'(x) (f8)(-1) j) c) d) (g•f)(x) 8 (x) (Sof")(4) (fog)(x) (fog)(5) (gof)(5) g) k) h) 1)

Q: Example #3: Consider the function fcx) = (2x+1) √√x-1 Evaluate: a) b).. (³x f'(x) dx. 5 fcx) dx 2

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Q: a) Differentiate the function Q(p) = -2³√/p³ (²-P). b) Hence or otherwise, determine Q'(1).

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Q: 2. If f(x)=x² -15 and g(x)= 2x+11, a) find (f °g)(2). b) find (gºg)(-6). c) (g•f)(x).

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Q: 5) Given functions T(x) = 3x – x² and S(x) = 4x – 1 find the following: a) (T • S)(x) b) (T – 5)(-)…

A: Note:  In (T o S)(x) , s(x) is input. (T-S)(x) = T(x)-S(x).

Q: Given the functions Az) = cos(x) and g(z) = x - 5x- 6, determine the domain of the combined fx)…

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Q: (3)f(x) = x – [x]; 0x=5 (i) x=

A: Greatest integer function:  A function that results  in the greatest integer less than or equal to…

Q: Use the table to determine Df(g(x)) at x = 3. |1 2 f(x) 1 3 4 3 2 f(x) 3 -5 1 4 g(x) 2 4. 4 1 3…

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Q: Given the functions fz) = 3* and g(x) = sin x, determine the domain of the combined function y=…

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Q: For the function f(x,y)= (x² + y²) tan(ln(xy)) + e(x-y) which of the following is the value of…

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Q: 4. Let f(x)= |x| and g(x) = x-3. (a) Determine the formulas for each of the related composite…

A: The composite function is defined as when the output of one function is used as the input of another…

Q: 2. Suppose f(x+3)%3D f(xr), what is the period of the function f ? (A) 4 (B) 3 (C) 2 (D) 1

A: topic - functions

Q: 29 x) = [42] (4), x(t) x(o)= [?]

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Q: I. If f(x, y) = x² – y² + 4xy – 7x + 10, find (a) f(2, 1) (c) f(x + h, y) (b) f(-3, 5) (d) f(x, y +…

A: topic - functions note : As per bartleby guidelines, we are supposed to answer only first three…

Q: Suppose you negotiate a selling price of $27,995 for a Ford Explorer. You make a down payment of 10%…

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Q: 2. If g(x) = (ƒ 03ƒ •4f)(x) = ƒ (3ƒ (4ƒ(x)). Determine gʻ(3), given f(3) = 1, ƒ(4)=1, ƒ'(3) = 2 and…

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Q: Let ​F(x)=x2−11 and ​G(x)=12−x Find ​(F•​G)(−5​)

A: Given,two functions F(x)=x2-11  and G(x)=12-x

Q: Suppose Im(f(z)) = 6x(2y -1) and f(0)= 3 -2i, f(1) = 6- 5i. Find f(1 + i)

A: Complex function

Q: Syppose that Ts Cx) centered at a for f(x) is giver by T5 (x) = 3+5(x-2) +8(x-a)?+a(x-2)+ (x-2)5.…

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Q: 19) If f(x) = 3x + 1 and g(x) = 5 – x°, find g(f(x)).

A: Given:

Q: Determine f,(x); f(x) = cos(2x³ +n²)

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Q: Let f(x) = √√x² + 3.

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Q: What is the second derivative of In(x4– 1)? - 16x9+ 12x6– 12x² (A) (x4– 1) 2 4x3 In (B) - 4x6– 12x2…

A: