EXAMPLE 6 Composing Functions Given f(x) = x + 2x and g(x) = x – 4, find a. f(g(6)) b. g(f(-3)) c. (fo g)(0) d. (g °f)(5)

Q: a. Factor f(x) = 9x - 33x + 19x - 3, given that 3 is a zero. b. Solve. 9x - 33x + 19x – 3 = 0

A: Given function: fx=9x3-33x2+19x-3 3 is a zero of fx, that is x-3 is a factor of fx.  

Q: sinx cos" x dx

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Q: Construct a table to find the indicated limit.

A: let f(x)= limx→0 sinx2x 

Q: Differentiate and simplify

A: the given function is  f(x)=ln6x+7

Q: I need help with this question. Please answer write all three answers it asks.

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Q: I am having a tough time with the problem in the photo below

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Q: 58. Find an equation of the line containing the centers of the two circles x? + y? - 4x + 6y + 4 = 0...

A: Consider the given equations. x2+y2-4x+6y+4=0                   1x2+y2+6x+4y+9=0                   2...

Q: I really need help with these two question in the image.

A: According to the guidelines of bartleby I will do only first question please ask rest of the questio...

Q: Explain how to factor the difference of two squares. Provide an example with your explanation

A: Every difference of squares problem can be factored as follows:                        a2–b2=(a+b)(a...

Q: write the domain in interval notation.

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Q: EVALUATE THE QUESTION BELOW

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Q: 17 Use the definition of derivative to evaluate the derivativeof f(x) = 2x2 − 4

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Q: (a) Find the common ratio for the geometric series (answer should be exact): 39 k-1 64 k-2 T = b) Fi...

A: Here a geometric series is Given using sigma notation. For finding answer for all the problems initi...

Q: A sports company has the following production function for a certain product, where p is the number ...

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Q: Q2/ Answer the following. 1- If the function f(x) = x + y? even or odd function? 2 2- Find the domai...

A: 1.  If, f(x) = x + x²  Then, f(-x) = (-x) + (-x)² = - x + x²  So, f is neither even nor odd.

Q: In Exercises 61-66, solve each quadratic equation by the square root property. 61. 3x? = 27 62. 5x? ...

A: The square root method is generally used on equations that have the form ax2=c or ax+b2=c.   61. The...

Q: A1). Sketch the graph of ONE function such that ALL of the following hold: i). f"(x) 0 for x> 2 vi)...

A: Graph of function

Q: I'm looking for guidence on finding the difference quotient and the derivative. Thank you!

A:

Q: Find the equation(s) of the tangent line(s) to the graph of the curve  y = x3 − 10x through the poin...

A: equation of the tangent line passing the point (x_1, y_1) is (y - y_1 ) = slope (x-x_1)

Q: determine which functions are polynomial functions. For those that are, state the degree. For those ...

A: Consider the function f(x)=4x+x3. This is a polynomial with degree 3.

Q: For ?(?) = √? over the interval [0,9], show that ? satisfies the conditions of the Mean Value Theore...

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Q: Given g(x) = x - 14x + 45, a. Evaluate g(V5). b. Evaluate g(- V3). c. Solve g(x) = 0.

A: The function gx=x4-14x2+45

Q: Evaluate limx→2x − 3                        (x − 2)2 a. limx→2x − 3(x − 2)2= −∞b. limx→2x − 3(x − 2)...

A: We have to determine the value of limit.

Q: Please solve question 5

A: For this we have to draw circles according to given conditions so I'm providing hand written solutio...

Q: Given: sing = -e is a third quadrant angle, and tand =- , ois a second-quadrant angle; find cos(e+) ...

A: We are given sinθ=-35. So,        sinθ=-35⇒θ=arcsin-35+2πn, θ=π+arcsin35+2πnFor θ in the third quadr...

Q: please 3b)

A: The given displacement vector is r(t)=(et cos t)i + (et sin t)j +(2t)k at t=0. The components of the...

Q: find dyldx for the flowing * y = secʻx – tan“ x I Add File y = 3 sin'' 2 x 1 Add File ) y = x.sinh2x...

A: Given that  y= sec4x-tan4x..........1 We need to find out derivative of y. By taking derivative both...

Q: 2 series questions, converge or diverge?

A: Check the series is converges or diverges

Q: Determine whether the qiven infinite series Converges diverges or ろい.

A: Limit comparison test: Suppose that we have two series ∑an and ∑bn. Define limn→∞anbn=L If L is posi...

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx ...

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Q: Net Sales The figure on page 9 illustrates how net sales ofWal-Mart Stores, Inc., grew from 2007 thr...

A: To calculate the net  sales of Wal-Mart Stores, Inc. in 2010 By Using the midpoint formula,  

Q: The Guinness Book of Records documents the evolution of sports records in the twentieth century. Two...

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Q: Calculus Question

A: We have to find the derivative of the given function

Q: The completed sign diagram is below. x' t = 4 Recall that for a differentiable function f on an inte...

A: Here we use concept of first derivative test to check where function increasing or decreasing

Q: Use the graph below to fill in the missing values. 5- 4- f(x) -1 2 3 4 -1 f(0) = %3D f(x) = 0, x = f...

A: We know that equation of function can be written as y = f(x) So , the coordinates (x,y) is written a...

Q: Find the particular solution of the differential equation   satisfying the initial condition y(0)=5....

A: Given differential equation :  

Q: Find u · v, where 0 is the angle between u and v. ||u|| = 4, ||v|| = 14, 0 = - 3

A: This problem can be solved by directly putting given values in the formula for the dot (or scalar) p...

Q: A rental car company charges $30 plus 30 cents per each mile driven.Part1.   The Total cost for driv...

A: Calculate the total cost for 400 miles and than add the extra charges.

Q: Describe how the behavior of the graph in Figure 10 near x = 1 can be predicted by the simplified ex...

A: As x approaches 1, the function becomes undefined.

Q: Look at this graph. 400 80 60 40 20 -100 -80 -60 -40 -20 80 20 40 60 100 20 40 -60 -80 -100 What is ...

A: From the figure  x intercept is 10                           y intercept is -10

Q: 7. 2x3 + 12z2- 18x lim 13 – I - 12 8. 1² – 31 - 10 lim 1-5 r2 + 2x - 35

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Q: If the graph of an equation is symmetric with respect to theorigin and 13, - 42 is a point on the gr...

A: Given a point on the graph is: 13, -42

Q: Q3) for f(v) = sec2(3v – 1) and g(v) = tan?(3v – 1) show that %3D %3! f'(v) = g'(v).

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Q: Decide whether limit exists. If a limit exists, estimate its value.

A: To find the given limits from the figure,

Q: Can the equation of every line be written in slope–interceptform? Why?

A: 1. Point slope formy-y0=m(x-x0)in this m is the slope of line and (x0,y0) is givent point2. Two poin...

Q: Evaluate lim x→−∞ f(x) if f(x) = 3x2+8x−4                                                6x3−7x+1 a....

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Q: Explain Limits of Function Values?

A: The limit of a function at a point 'a' in its domain (if it exists) is the value that the function a...

Q: COMPUTE WORK DONE BY FORCE BELOW

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Q: please help with questions 10 and 11

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Q: Suppose that a quantity y = y(t) increases at a rate that is proportional to the square of the amoun...

A: Given that a quantity y=y(t) increases at a rate that is proportional to the square of the amount pr...