23. What is the domain of the function f(x) = Vx² – 16? %3D In Problems 25–32, use the given functions f and g. (a) Solve f(x) = 0. (e) Solve g(x) s 0. (b) Solve g(x) = 0. (f) Solve f(x) >g(x).

Q: 4. f(x)=: 1-5х Find (fog)(x), and give its domain. 1 8(x)= -

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Q: 22. If f (x) = 16vx, then f"(4) is equal to (A) -32 (В) -16 (С) -4 (D) -2 (E)

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Q: 5. Which is the inverse of f(x) =2? %3D Or (2) = H 241 Of (x) = 1- Of (x) = 1 1-c f(x) = 1+a

A: To find f-1(x) We interchange x and y and solve for y as function of x

Q: Suppose h(x) = 3x² + 17x – 5. What will the function be if h(x) is moved to the right 6 units and up…

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Q: 5. f(x) = -2x g(x) = |x+4| h(x) = 1 %3D %3D X-3 Find (f – g)(3) a. )(7) b.

A: To find the following parts.

Q: Match each of the following conditions with an equation. f(x) = 24x - 4 fil(0) f(0) = f(0) = 0 = y =…

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Q: 1, -1 X'=1 3 0 0 2

A: The given differential equation is  dXdt=1-1-1131002X The general solution is of the form…

Q: In Problems 11–20, for the given functions f and g. find: (a) (f° g)(4) (b) (g•f)(2) (c) (fof)(1)…

A: Since you have asked multiple questions we will solve the first one for you. If you want a specific…

Q: 6. f(x)= x³ - 4x g(x) = V2x h(x)= 2x+3 %3D %3D Find (h°g)(72) a. b. (h°h)(-4)

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Q: 5. Consider the equations: det f(x) = A(1+)™* g(x) = A· ex and %D %3D For x =1 (a one year…

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Q: 2. Suppose that F(4) = 2 g(4) = 5 fr(4) = 6 %3D and 9'(4) = –3 Find h(4) %3D , h(x) = f(x)g(x) %3D…

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Q: %3D Find g[1(-2)], if 1(x) = x² and g(x) = 3x – 5. %3D -17 -7 -44

A: Explanation of the answer is as follows

Q: fo 2. The effectiveness of studying for an exam is given by the function E() = (2 have only one full…

A: For absolute maximum or minimum  i) verify that the function is continuous on the given  interval…

Q: For f(x) and g(x) given in Problems 35-38, find (a) (f + g)(x) (b) (f- g)(x) (c) (f g)(x) (d)…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Problem #5: Let f(x) = 2. Which of the following is equal to f'()? %3D 5. (i) lim 40+h 4. 40 (ii)…

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Q: 1, 0 2

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Q: 1. Given f (x) = 3x² + 5x +7 and g(x) = 5x, find f(x) • g(x) b. g(x) o f(x) %3D a.

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Q: 3. The Chain Rule. Solve Dx (2x2 + 2)* V2x CSC X

A: This is a problem of differentiation of the function. Based on below formula we will calculate the…

Q: 18. g"(x) for g(x) = -x + 2r² – 3x + 9 %3D

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Q: 2. Given f(x) = 3x – 2 and g(x) = =+, find each of the following: %3D (a) (f o g) (z) (b) (go f) (z)

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Q: If f(z) = and g(x) = I +1 compute f(g(g(f(3)))) %3D %3D I – 1

A: See the details solution below

Q: 8 5. If f(x) = and g(x) = (x – 1), what is (g x f)(x)? and g(x) = (x – 1), what is (g –)(x)? 3 6. If…

A: To Determine: find g×fx   and g-fx  Given: we have two functions f(x)=8x  , g(x)=x-13 Explanation:…

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

A: Given that: f(x)=2x-33x+4