You have given a function A : RR with the following properties (z € R, n e N): A(n) = 0 , X(x+1) = (z), A(n+;) = 1 Find two functions p, q : R +R with q(x) # 0 for allz such that A(r) = q(x)(p(x)+ 1).

Q: Define f (x) = 4+ x – x² and g(x) = 5x – 3. Define f(x) - - (f o g)(x) = (go f)(x). True False

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Q: The critical point of the function f(x) = a – 6x² + 16x + 13 is %3D - (1, –4) (-2,4) (2, 4) (-2, –4)

A: The critical point of the function y=fx is the point where f'x=0. The power rule of differentiation…

Q: Q1. Let f(x) = V2-x,g(x)=/5+x, then find the following : (1) (F-g)(- 1) (ii) (iii) domain of…

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Q: For which a is each of the following functions defined 2x – 3 (a) f(x) = (b) 1 g(x) = 3x + 2 4.x + 5

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Q: 1 g(x) = /3 — х

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Q: Calculate R3 and L3 for f(x) = x2-8x+2 over [1,4] .

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Q: y= {(z) -4 -3 -2 -1 3 7

A: We have to find the points

Q: 2x x - 3. a) Find the domain of the function: [-3, ∞0) (-∞0, 3] (-∞, 3) U (3, 0) (0, -3) U (-3,0) 2.…

A: According to bartleby guidelines we supposed to do the first subparts of multiple subparts kindly…

Q: Consider these functions. 1) Evaluate (f + g)(2). f(x) = 3x² – 5 g(x) = Vx - 2 A) -1 B) 0 C) 3 D) 7…

A: we have the given functions  f(x)=3x2-5 g(x)=x-2 1) (f+g)(2)=f(2)+g(2)…

Q: What are the valuesbof x where tge functions f(x) = (3x+2)(x+1)\x+3 is undefined?

A: Consider the function f(x)=(3x+2)(x+1)x+3

Q: 5. Lif f(x) = x3 + ax? + bx + c, determine the values of a, b, and c if f(x) switches from concave…

A: Given: f(x)=x3+ax2+bx+c Differentiate the function. f'(x)=ddxx3+ax2+bx+c=3x2+2ax+b Differentiate…

Q: Which of the following functions passes through the point(0, 10) and satisfiesf'(x)= 87

A: given f'(x)=8

Q: the function f(x) = k(x - s)(x - t)(x - u)^2 has: * O 3 zeros O 4 zeros O no turning points O 4…

A: Zeros of a function are those points where function has value zero. Hence f(x)=0 implies…

Q: 1 Let f(x) = x²-3x+2, g(x) = and h(x)=√1-x. Find f( - 6), g(-6), h(-6), h(a), and h(-x).

A: Let's evaluate the functions step by step. Given Functions 1.f(x)=x2−3x+2 2.g(x)=x​1​ 3.h(x)=1−x​…

Q: Find the domain of f

A: We have to find the domain of the function: fx=x+2+2-x We know for any square root function y=fx it…

Q: Q1. (a) Find the domain of the functions f(r) = V(1 – r)(x – 3) and g(x) = In(x – 2)(5 – x). Also…

A: Given, The functions

Q: x + Vx? -1 f (x) = X

A: Consider the given function, fx=x+x2-1x the domain of the function is the set of all possible real…

Q: f(x1, x2) = xỉ + 2.x1.x2 – 10x1 + 5x2

A: According to our company policy,  I am supposed to answer only one question at a time. For the rest…

Q: If f(x) = v(x - 1)/ (x - 9), then the domain of f is given by the interval A. (1, +00) B. (-3, +3)…

A: The given function is  f(x) = sqrt[(x - 1)/(x2-9)]

Q: Describe the long run behavior of f(x) = 2(x + 2) (x + 3) (x + 5): As x → 00, f(x) → ? v As x → 0,…

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Q: 2² – 7x + 12 Explain why f(x) = x – 4 is not the identical function of g(x) :

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Q: 2x-3 Let f(x)= Compute (1 -i/2). (1 – i/2)=

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Q: Define f(x ) = Vx2 +1 and g(x) = 2 – x2. State the domain of (f + g)(x ). x # v2, –v2 - [-1, 00)…

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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: Let f(x) = 3x – 10 and g(x) be the function shown in the graph at right. Find the following: 2. a)…

A: f±ga = fa±ga f∘gx = fgx g∘fx = gfx .