Given f(x) = 3x and g(x) = 5x – 2 (a) Determine (fog)(x) (b) Determine (gof)(x) (c) Evaluate f(g(4))

Q: 5x − 2 + 8x = 4x + 3 − 6x

A: we have given

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A: f(x)=x

Q: 21. There are currently 300 fans in the Stompin' Tom fan club and the number of fans grows by 12%…

A: we use exponential growth formula for population to solve the given problem.The exponential growth…

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A: The exponential growth model = rate of growth= scaling factor b = vertical shift

Q: The graph of y=f(x) is shown. Draw the graph of y=f(2x). 6- *** X S (b) The graph of y = g(x) is…

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Q: Solve for X. Assume X is a 2 x 2 matrix. Do not use decimal numbers in your answer. If there are…

A: Given matrix Let a matrix A as  Then its inverse

Q: Solve the following equations for X, Y, and Z. Show all steps. Report answers to 3 sig figs. 3X + 2Y…

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Q: a trip takes 2 3/4 hrs with 1/11 hour already pasted. How much longer will the trip take?

A: a trip takes 2 3/4 hrs with 1/11 hour already pasted

Q: 3. Passes through (-9, 9) and (-5, 1) in slope- intercept form.

A:

Q: Given f(x) = 2x² + 1 and g(x) = 5x − 9, find the following. (a) f(g(2))

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Q: Solve the initial value problem. t2(dx)/(dy)+4tx=t³Int+6, x(1)=0 The solution is x(t)=?

A: To solve initial value problem.

Q: 3. The figure below illustrates the situation facing the publisher of the only newspaper containing…

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Q: 2. Change 1.1 to a fraction. Simplify completely. n=16T | 101=1101 B. 111=11 C. 1/ D. 1/ The correct…

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Q: 9. The table shows the minimum and maximum number of hours of sunlight in Dryden, Ontario, Hour of…

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Q: Let F = (9xe) i-(4x cos(z)) j- (9ze¹) k. Find a G such that F = VxG. Instruction: Follow the outline…

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Q: 3. Find = {vati lim n (Hint: Use Squeez theorem). + ਜ √n²

A: Answer is 0.And attached below is the solution.

Q: Determine whether the equation represents y as a function of x: 9. y = ±√x-2

A: The vertical line test is a graphical test used to determine whether a given curve in a…

Q: describe the domain and range of the following function in inequality notation

A: The domain is the set of all x-values.As we can see the function has a close dot at x=-6 and the…

Q: For each function, determine whether it is a polynomial function. Function (a) u (x)=5x(x-3)² (b)…

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Q: Compute the reduced row-echelon form of the matrix 18 34 -4 -1 3 3 17 -6]

A: A matrix is said to be in row echelon form when all its non-zero rows have a pivot, that is, a…

Q: 11. Let A, B, and C be sets. a. Find (AUC) \ B| provided |A| = 50, |B| = 45, |C| = 40, |An B| = 20,…

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Q: how many ways can a teacher give four different prizes to four of her 28 students

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Q: Consider the chemical reaction aN₂H4+bN2O4 → CN2 + dH₂O, where a, b, c, and d are unknown positive…

A: Given chemical reaction,aN2H4+bN2O4→ CN2+ dH2O, we have to find the coefficient a,b,c,d

Q: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Draw the graph of…

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Q: 10. xy=3x-2

A: In case of  mathematics, a function is a fundamental concept that describes a relation between a set…

Q: A loan of P 2,000.00 is made for a period of 13 months, from January 1 to January 31 the following…

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Q: Let W be the subspace of R³ spanned by the vectors 1 and Find the projection matrix P that projects…

A: Let matrix

Q: Solve the following equations. 8. x 51 +4= 6 86 +86

A: To solve the following equation.Note: Since the student has posted multiple questions and does not…

Q: Determine the eigenvalues and eigenvectors of the matrix =( A = List of eigenvalues: -10 6 Give the…

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Q: Use the provided Simpson's 3/8 integration template to calculate the integral: 1 I=/ 0 The relative…

A: Given that  And the formula relative error:

Q: 2.5% of what number is 3.25?

A: To find 2.5% of a number that equals 3.25, Let's denote the unknown number as x.

Q: Earnings per share. The earnings per share (in dollars) for 12 companies selected at random from the…

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

Q: Nc

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Q: What is 11/4 + 11/8 =

A:

Q: 210° find the sin and cosine

A: 1). 2).

Q: What number is 80% as big as the number 30? What number is 40% bigger than the number 30?

A: (i) To find the number which is 80% as big as the numebr 30.(ii) To find the number which is 40%…

Q: Click on "None" it applicable. 7 6 5 4 7. 6. 5. 3. -5- y 5

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Q: When riding on a Ferris wheel, your height, h, in meters above the ground in terms of time t, in…

A: Draw a rough sketch to analyse the graph

Q: The graph of y=x+ -x+ 2 is positive over the interval (-∞,4) and negative over the interval (4,∞).…

A: The function is also mentioned that the value of the function is positive in the interval  and…

Q: 1.1 - 1.8 Perform the indicated operation. If possible, reduce the answer to its lowest terms. 5 6…

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Q: Let f(x)=x+2 and g(x) = 2x². Perform each fun then find the domain of the result. 8. (f+g)(x) 9.

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Q: F(x)=2x²² - 4x f(0) = 2 (0)² -4 (0) F(1)=2(1) ²-4 (-2) F(2): 4

A: The given function is f(x)=2x²-4x

Q: The number of visits to public libraries increased from 1.3 billion in 1993 to 1.6 billion in 1998.…

A: It is given that the number of visits to public libraries in 1993 was 1.3 billion.in 1998, it became…

Q: Writing an equation in slope-intercept form given the slope and ... A line passes through the point…

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Q: Gianna signed up for a streaming music service where there's a fixed cost for monthly membership and…

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

Q: In a certain country, income tax T (in dollars) is assessed according to the following function of…

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Q: the question is how much time? solving to 2 1/2 hours left is what i'm not understanding which is…

A: Here  and  are the mixed fractions

Q: Convert the rectangular coordinates (3, 4) into polar coordinates.

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Q: 8. Solve the following equations for 0° ≤x≤ 360°. a) 2 csc² x+8 csc x - 10 = 0

A: The given equation is 2csc²x+8cscx-10=0"As per the rules, we are supposed to answer the first…

Q: 3- Find the binomial series of the function f(x) = (1 - 2x)³

A: We need to find the binomial series of the given function.