{(x, y), 1 < x² + y? < 4} C R². Q6. Given M = (a) Determine dM and aM. (b) Is M connected? Pathwise connected? Justify. (c) Let N = {(x, y), x² + y² < 4}. Is N = M ? prove your answer. %3D

Q: 8) For f(x) = x +1 and g (x) = 5x + 4, determine the following. a) 4 points h (x) = (f •g)(x). b) 4…

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Q: 4|\B Prove that (V3+ i)6 = -64

A:

Q: Given s(x)=(x-2)2, find s(4), s(-3), s(2), s(1) and s(0) and find the domain of s.

A:

Q: If f(x, y) = 2√x² + y² - 16, then the domain of f is the set D = {(x, y)]x² + y² ≥ 4}. Select one:…

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Q: 1)For the pairs of function find: a) (fog)( c)The Domain of (fog)() fow=3x- 4 b) (gof)s) gN=Vx + 2

A: We have the given function as fx=3x-4gx=x+2 The term “composition of functions” (or “composite…

Q: If f(x) = 4x-5 if -4≤x≤2 3 x-2 (a) f(0) = (b) f(1) = (c) f(2)= (d) f(6)= if2<x≤6 find: (a) f(0), (b)…

A: The given function is

Q: Zet f(x) = -2<x 8 else where is p.d. f. Find 2 D Pr( x² <9) (3) E(2x-3) , Zero (2 @ E(X)* 4 The…

A: Solution

Q: a) determine (fog)(x) c) evaluate (gof)(-1) b) state the domain of (fog)(x)

A:

Q: Soal Latihan 1: Diketahui f(x) = 2x − 5 dan - 1-6x g(x) = 3r+2

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: If p(x) = (x+1)" (x-1)° then -1 is a zero of multiplicity: Select one: а. 4 b. 7 с. 1 O d. 3

A: Given Correct option is a. 4

Q: yes, hi. I've seen another source, use set variables to 0 and then solve individually, answers are…

A: setting z=0 and solving for x and y. similarly setting y=0 and solving for x and z.

Q: If ||m, find the value of x: If PS||QR find the measure of ZRSP (5y + 14) (3r) (2r) (5x - 16) m (8y-…

A: Angle

Q: If F(t) = 2tî - 5ĵ + t²k and G(t) = (1 – t)î +=k, find (F.G) (t). t 2t 2t - 2 2t - 2t² 3t - 2t²

A:

Q: Q3: Let S(x) = V25 – x? and g(x) = Vx -3, find the following 1) gof and fog D gof and 2) D. fog

A: our objective is to find the solution

Q: (y ≥ 3x + 6 (x + y ≤ 4

A:

Q: If f(x, y) = 2√√x² + y2 - 16, then the domain of f is the set D = {(x, y) x² + y² ≤ 16}. Select one:…

A:

Q: f(x+h)-f(x) for f(x) = 2x2 +11 : Find %3D

A: Given function: f(x)=2x2+11   To find f(x+h)-f(x)h, we have to need the values of f(x+h) and f(x).…

Q: why minimize ||A x – b|| + A ||x|| and minimize ||A x – b||² + A ||x||2 are the same?

A: Consider the terms of the given function one by one Now the given function of x gives always the…

Q: What is the vertex of g (x) = (x + 3)+3?

A:

Q: Let f: AB and 9: B→C be defined as follows: f(a) = 4a² +2 and g(b) = 26-7 Compute the following: (a)…

A: Let A=B=C=x|x is a real number Let f:A→B and g:B→C be defined as  fa=4a2+2andgb=2b-7 Hence…

Q: For f(x)=12x¹-44x² −8x³ + 2x² −6x² +72x² −24x+8, compute f(2), roots of f(x) and plot for 0≤x≤ 30

A: The function given is as follows: fx=12x10-44x9-8x8+2x7-6x3+72x2-24x+8 We are asked to find the…

Q: f(x) = x - 4; g(x) = Determine k so that f(x) = g(x), for all x. A. -8 B.-4 k if x=-4 if x = -4 C.4…

A:

Q: t) Given that f(x) = 3x – 6 and g(x) = 9x + 4, calculate (a) f • g(x)= (b) g • f(x)= (c)f • f(x)=…

A: As per guideline we can solve the first three subparts only.  If you need more answers  please…

Q: r = |7| , ř = 2xi – 3yj + zk let V(2r), v°(r) find all of

A: Vector Differentiation

Q: 6. Show directly that inf(B) = 1 for B {N =: 4+1} -

A: The given expression is,  B = {1+1/n : n belong to N}

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.