Consider the following functions. f(x) = x/x-3 ,    g(x) = 4/x   (a) Find (f ∘ g)(x).       (b) Find (g ∘ f)(x).

Q: Determine whether A is similar B .If A ∽B, give an invertible matrix P such that P-1 AP = B.

A: The given matrices are A=110011001 and  B=110010001. Here, it is observed that the matrices A and B ...

Q: Find the standard form equation for a hyperbola with vertices at (5, 0) and ( – 5, 0), that passes t...

A:

Q: -5 -2 1

A:

Q: Find the least squares regression quadratic polynomial for the data points.

A: Let y=c0+c1x+c2x2 be the least square regression quadratic polynomial of the given set of data point...

Q: For Exercise, use the substitution u =and y = to rewrite the equations in the system in terms of the...

A:

Q: Problem B Show that 3- 4" + 51 is divisible by 3 and 9 for all positive integers

A: 3 * 4^n + 51 = 3 * (4^n + 17), when divided by 3 3 * (4^n + 17) /3 = (4^n + 17) So, divisible by 3.

Q: Solve the equation. 6(7a + 4) = 234

A:

Q: Find a basis for span(l, 1 + x, 2x) in P1.

A: Consider span 1, 1+x, 2x . span of 1, 1+x, 2x=α1+β1+x+γ2x=α+β+βx+2γx=α+β+β+2γx      

Q: The graph depicts the growth in costs using a line segment. Use the midpoint formula to approximate ...

A:

Q: I3D

A: Given that: y =u and u = x2 + 1 .

Q: (f∘g)(−7) =  (g∘f)(2) =  (f∘f)(10)= (g∘g)(9)= x -9 -7 -5 1 2 6 9 10 f(x) 6 -5 9 1 2 -9 10 ...

A: Composite functions are known as the function of function. 1. g(-7)=-9 Thus, f∘g(-7)=f(g(-7)=f(-9)=6...

Q: find the derivative of the function:   f(x) = det [ -1  -4  3  -4  -3 ]                  [  3   0   ...

A: To Determine: find the derivative of the function that is f'(x) Given we have a determinate         ...

Q: Determine all elements of a ring that are both units and idempotents

A: To determine: All elements of a ring that are both units and idempotent.

Q: Suppose the value of y varies directly with x if x equals negative 2 then y equals -5 what is the va...

A: Given, the value of y varies directly with x if x = -2 then y = -5  

Q: What number is 10 more than 8,358? of 15 is Answer Her

A: Given that: The number is 10 more than 8358 Let the number be “x” then, x=10+8358=8368 Hence the num...

Q: Write the following in order from least to greatest. 4.72 × 105, 42.7 × 10², 472, 0.0427 X 107,

A: Given numbers are 4.72×105,42.7×102,472,0.0427×107. Given decimal numbers can be written as: 4.72×10...

Q: A class consists of 1/2 freshmen 1/8 sophomores and 1/4 juniors the rest are seniors what fraction o...

A: Let the number of students be x Freshmen = x/2 Sophomores = x/8 Juniors = x/4 Total = x2+x8+x4=4x+x+...

Q: 105. Pamela thinks that line l1, with slope 3 3 and line l, 2' with slope are perpendicular. Is Pame...

A: Given that the slope of the line l1 is 32. The slope of the line perpendicular to l1 will be negativ...

Q: Determine the domain and range of each of the following graphs

A: consider the solution equation  domain=(4 ,-4) Range=(-4,4)

Q: Write the standard basis for the vector space.R6

A: Standard basis of vector space Rn is v1=(1,0,0,...0)v2=(0,1,0,...0)v3=(0,0,1,...0)...vn=(0,0,0,...1)...

Q: help

A:

Q: Consider the following functions. f(x) = −x2 + 4,    g(x) = root x  (a) Find (f ∘ g)(x).     Find ...

A:

Q: PART A: Discuss which of the three conceptual models of division -repeated subtraction, partition, a...

A:

Q:

A: Explain correlation coefficient: The correlation coefficient ,r, measures the strength and direction...

Q: game called "Guess My che following hints: e are (1, 1) and (2, 4)." of her line? A graph elp. rcept...

A: the points given to us is (1,1) and (2,4) we have to find the slope between these points  the formul...

Q: For Exercise, solve the system of equations by using the addition method. Зх — 4у %3D 9 2х + 9y 3D 2

A: Given set of equation:  3x-4y=9                1 2x+9y=2                  2 Multiply the equation 1b...

Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for Rn into an orthon...

A:

Q: Miguel Rodriguez borrowed ​$400 from his brother Julio to pay for books and tuition. He agreed to pa...

A:

Q: Prove that a finite group is the union of proper subgroups if andonly if the group is not cyclic

A: union of proper subgroups  proof: Let G be a finite group. In the first place, we are going the show...

Q: The length of a rectangle is 7 inches longer than it is wide. If the area is 198 square inches, what...

A: Put width =x and length = x+7 and solve for area. 

Q: Convert the following mixed number to an improper fraction. 1 5 7

A: Given mixed fraction is 157. To converts mixed fractions to an improper faction, we should follow th...

Q: At a restaurant, the cost of the food (including tax) is $74. The service was amazing so you want to...

A: Given data: *The cost of the food (including tax) is $74. *The tip for the cost of the food is 25% o...

Q: Clarissa recieved a $15 itunes gift card to download music for her ipod. Each song costs $3.

A: Given, Clarissa received a $15 iTunes gift card to download music for her iPod and each song costs $...

Q: Plz answer question 2.

A:

Q: please very soon  full explanation

A:

Q: Write the equation of a line perpendicular to 4x-9y= -5 that passes through the point (-4,3)

A: If two lines are perpendicular then relation between their slope: m1.m2= -1   Given line,   4x-9y= -...

Q: Prove that λ = 0 is an eigenvalue of A if and only if A is singular.

A: Consider λ = 0. Since detλI-A=0, substitute 0 for λ in above detλI-A=0. det0I-A=det-AAnd alsodetλI-A...

Q: How do you find the zeroes of f(x)= [(2x^3)-(9x^2)+(12x)-(3)]? When I try the possible real zeroes t...

A: f(x)=2x3-9x2+12x-3

Q: Factor the expression. If prime, then enter "prime". 125y+ 27. (If the expression is prime, then ent...

A: Prime expression: expression which can not be factored.  a3 + b3 = (a + b)(a2 - ab + b2)

Q: Consider the functions: Ax) = x+ 2 %3D g(x) = 3x What is the value of (f g)(2) ?

A:

Q: ) A football was kicked vertically upward from a height of 5 feet with an initial speed of 60feet pe...

A: 1) i) The ball's height above the ground is given by the formula  h=5+60t−16t2 where h in feet, t se...

Q: ) Find the slope and y-intercept of this equation. ) Write a sentence that interprets the meaning of...

A: Standard form of equation of a line is,  y=mx+c Where m= slope of the line and C= y- intercept

Q: Which of the following binary operations are associative?a. subtraction of integersb. division of no...

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

Q: Algebra Question

A: Domain is the collection of all possible values of x for which the function is defined. Range is the...

Q:

A:

Q: {3,5,6,7,9} (a) State A in standard roster form. A =. (b) Let B := A n{1,2,3,4,5, 6, 7,8}. State B i...

A: Given A={3,5,6,7,9} B=A∩{1,2,3,4,5,6,7,8} (b) To state Bin the roster form. (c) To calculate ν(℘(B))...