For f(x)=3-x and g(x) = 3x +x+4, find the following functions (fog)(x); b. (gof)(x); c. (fog)(3); d. (gof)(3)

Q: g. What is the range of f(x)?

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Q: Solve for x, to two decimal places. 200 = 4(5)* O a) 10.00 Ob) 2.43 Oc) 12.15 d) 1.87

A: The given equation is: 200=45x   As we know from the logarithmic property, logbxa=a·logbx  where…

Q: 3x²-4x+5 between 2 and 3. x³ x²+x-1 Find the integral of f(x) = 31

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Q: The area of the sector of a circle with radius 3 yards formed by a central angle of 265° is yards.…

A: We know the expression for the area of the sector of the circle is: A=12r2θ Where r is the radius of…

Q: If √6-5x² ≤ f(x) ≤ √√6-x² for -1 ≤x≤1, find lim f(x). lim_f(x) = X-O X-0 (Type an exact answer,…

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Q: Factor the trinomial completely. 4s² - 22s + 10 Select the correct choice below and, if necessary,…

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Q: Question 14 99 Details A radio tower is located 300 feet from a building. From a window in the…

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Q: = (a) Compute the limit of the sequence with general term an (b) Write Σn=1 n(n+3) 1 as a telescopic…

A: we can find the limit of the sequence . Note : As per our guidelines , we can solve first one as…

Q: 7л Determine the exact value of COS 6 O a) -2 Ob) √3 2 O c) O d) √√3 2 1 /3

A: SOLUTION-

Q: Evaluate log5 √625 O a) 2 O b) 5 O c) 25 O d) 4

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Q: 4 1** ƒ(z)dz = 3, and [*9(2) If f(x) dx 5 g(x) dx = 3, then an [*14ƒ(z) + 6g(z)]dz ==

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Q: Find the limit L. Then use the - definition to prove that the limit is L. lim √√√x x →0 L = 0 Use…

A: ε-δ definition of Limit: A limit limx→af(x)=L is defined as follows - If ∀ ε>0 there exits δ>0…

Q: To graph the function f, we plot the points (x, f(x) ✔ (x₁ To graph f(x)=x2-4, we plot the following…

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Q: lim +2 2 7²-1 €³-76 +9 2

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Q: (b) Write Σn=1 n(n+3) as a telescopic series and find its sum.

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Q: (11) Frawate the indefinite integral J 7sin ³x cos x dx

A: To evaluate the given integral.

Q: Explain why the limit does not exist. X lim X-OX

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Q: Question 9 b B 11° b≈ A 12 Note: Triangle may not be drawn to scale. Given the triangle above,…

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Q: The graph below is the function f(x) -5 -4 -3 -2 Find lim 4 3 2 01 Find lim -1 I→-1- 34 Find lim…

A: Given the query is to find indicated limit from the graph.

Q: In the set of all strings of eight uppercase letters (possibly repeated) from the English alphabet,…

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Q: The angle between 0° and 360° that is coterminal with 1630° is Question Help: Video Post to forum

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Q: Describe the transformations that when applied to the graph of y = sinx result in the graph shown. 2…

A: we can describe the transformation of the given graph .

Q: State the derivative. Do not simplify. f(x)=sin(x) + cos(x)

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Q: Express the function in the form f ∘ g. (Use non-identity functions for f and g.) u(t) =…

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Q: Determine the amplitude of the sinusoidal function π -3 sin [2(z − )] + 3 Y = +1

A: Given,             y=-3sin2x-π3+1To find : Determine the amplitude of the sinusoidal function.We…

Q: Consider the following. sin(2x) X Create a table of values for the function. (Round your answers to…

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Q: State the derivative. Do not simplify. f(x) = = x² +3 R

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Q: Find the volume of a solid bounded by the paraboloid z² + y² = 4x and the plane x = 5

A: Given Data: Equation of Paraboloid: z2+y2=4x  ........... (1) Plane x=5

Q: Give an example to show that vectors are not commutative under the cross product operation. Justify…

A: The objective of the question is checking the commutative fail in vector cross product.

Q: use the graph of the function to find the domain D and range R of f(x) and the indicated function…

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Q: What is the remainder when x² + 3x is divided by x? a) 4 b) -3 c) O d) you cannot divide by x

A: Option (c) is your correct answer  For detail...go through the solution

Q: The angle between 0 and 27 in radians that is coterminal with the angle 41п 5 radians is

A: We can find the answer in the following steps.

Q: AD is tangent to OH at point C FK is tangent to OH at point G Cis a diameter A m22=89° CB= 23° BN=…

A: Given data:- Diameter of circle = CJ CB^=23°∠2=89°BN^=62°NM^=64°LJ^=18°CE^=63°EG^=57°

Q: Another way of writing 16 = 24 is a) log42 = 16 b) log₂ 16 = 4 c) log₂ 4 = 16 d) log16 2 = 4

A: logax = y is equivalent to ay =x .

Q: Find the limit. (If an answer does not exist, enter DNE.) 4(x + Ax) - 4x Ax lim Ax→0

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: EXERCISES 2.4 Write the equation of the parabola in general form that satisfies the given…

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Q: How do I find limits based on a graph?

A: Topic:- application of calculus

Q: Evaluate the multiple integral -3 -1 -4 1 2 dy dz ix dy dz 24x-yz³dx

A: Given, ∫-11∫-4-3∫1224x2yz3dxdydz

Q: (3 − 4x)12 dx

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Write the following expression as a single logarithm and simplify. log3 27+ log3 6 log3 2

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Q: Let g(z) Identify the domain, intercepts, and vertical and horizontal asymptotes. Asymptotes must be…

A: Given, g(x)=x+2x2+x-6

Q: You are given the graph of y = |x + 11. -10-8-6-4-2 A Serap y -10-8-6-4 -2 10 8 6 4 2 -2 -4 -6 -8 10…

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Q: Use integration by parts to evaluate the integral. f2x si sin(x) dx + C

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Q: 12/ A company is manufacturing two types of autocycles for gents and ladies separately, which are…

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

Q: EXERCISES 2.1 Find the coordinates of the focus and the equation of the directrix for each parabola.…

A: I have solved all questions step by step in detail...go through the solution

Q: Write the equation of the parabola in standard from with vertex at the origin that satisfies the…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 9. What is the period of the function f(x) a. 4π 5 b. 2 C. 2₁ = 2 (sin x)? d. 5π 2

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Q: The vectors i and j are standard basis vectors. Find the length of the vectors. (Use symbolic…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) [se sec(t) (9 sec(t)…

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Q: Select which of the following functions have a removable discontinuity. More than one answer maybe…

A: Given 1. fx=xx2+x 2. ft=t+3t2+5t+6 3. fx=tan2x 4. fx=x+1x2+1 5. ft=t-1+1 6. fx=5ex-2