Given the functions: f(x) = −5x g(x) = 3x + 7 h(x) = 18x² + 33x – 21 Determine each of the following. Give your answers as simplified expressions written in descending order. g(x) + h(x) = Find and simplify g(x) + h(x) Find and simplify h(x) – g(x) Find and simplify f(x) · h(x) h(x) g(x)' Find and simplify need to factor h(x) hint: you will The domain restriction for Function Operations g(x) f(x) Question Help: Post to forum is h(x) g(x) x # h(x) – g(x) = [192x² - 76] f(x).h(x) =

Q: 1. A = 0 0 1 01 -2 7 2 5 -1 3 1 2 O both one to one and onto onto, not one to one one to one, not…

A: The given matrix is A=0010-2725-1312. We have to check it is one to one or onto. Note: Since you…

Q: Let E be the 3 x 3 matrix that corresponds to the row operation R3 = R3 – 4R₁. (a) Find E-¹. (b)…

A: NOTE: Refresh your page if you can't see any equations. the inverse of E is absolutely correct so no…

Q: A ¹_ A = 1 4 4 Ha 4 0 1 3 -1 0 0 0 0 1 1 -5

A: We have to find the inverse of matrix.

Q: Find the quotient and remainder using synthetic division. 2x³8x² - 6x + 2 X-5 quotient remainder

A: Topic = Algebra

Q: If then A-¹- = A = [1 0 0 07 3 1 0 0 24 1 0 8 55 1

A: The given matrix, A=1000310024108551 We have to find an inverse matrix of A.

Q: For the function f(x) = -7x³ - 2x² + 3x, Step 1 of 2: Find the slope of the tangent line at x = 2.

A:

Q: Find the smallest integer x for which (x4 + 4x)/(x + 2) is O(xx). 01 02

A:

Q: .Millerhas$5000toinvest.Ifheinvests intoasavingsaccountthatpays12%…

A:

Q: encourage bulk buying, a company reduces the list price of $4,000 per unit by five cents times the…

A: Given query is to find the revenue

Q: Get the third column to be 0 H The answer is (x, y, z) =

A:

Q: Find the equilibrium quantity and equilibrium price for the commodity whose supply and demand…

A: We have given supply and demand equation  Supply: p=80q Demand: p=-q2+4,800 To get equilibrium…

Q: Find a representation of the vector AB = (-18, 3) in R² by giving appropriate values for the points…

A:

Q: Find the quotient and remainder using synthetic division. x³ + 2x² + 4x + 6 x + 2 quotient remainder

A:

Q: A chemist has three different acid solutions. The first acid solution contains 25% acid, the second…

A:

Q: If a straight lines represent a pair of linear equation with to variable are intersecting than the…

A: Given is two intersecting lines.

Q: For discrete random variables, when making the probability statements that involve an inequality, it…

A: Please see the below picture for detailed solution.

Q: Suppose T is a transformation from R² to R². Find the matrix A that induces Tif T is rotation by…

A:

Q: Use polynomial long division to divide 4x5-3x³ + x² +5 by 2x² +1.

A: Given: 4x5-3x3+x2+5  ÷2x2+1

Q: The pressure of the oil in a reservoir tends to drop with time. By taking sample pressure readings…

A:

Q: Consider the following Gauss-Jordan reduction: 1 01 ΓΟ 1 0 [0 1 07 [1 ⠀⠀⠀⠀⠀ 1 03 0 0 1 E₂E₂A 9 2 27…

A: A = 0109227001 The matrices E1, E2, E3, E4 can be obtained by doing changes in an identity matrix.…

Q: Draw a machine diagram for the function. f(x) 2 X-6 7 A 5 subtract 6 take reciprocal multiply by 2…

A: Machine diagrams shows the input  on the left side and output on the right side.The function in…

Q: 41 15 371 TO 10 The area of the quadilateral 510 The perimeter 153

A: Given that , Find the area and perimeter of quadrilateral.

Q: 1 3 Describe how the graph of g(x)= Then graph the function g(x). x + 2 can be obtained from the…

A:

Q: (c) f(x) = √√x − 6, x ≥ 6. f-¹(x) =

A: given  f(x)=x-6  ,  x≥6for finding inverse steps are (1) put y=f(x)

Q: 2 -3 -2 3 + 12 3 4 5 6

A: we have to solve it -22-3-3342-3-23+123456…

Q: Find a unit vector in the direction of u =

A: Here is the solution:

Q: Find f(x) and g(x) such that h(x) = (fog)(x). h(x) = 9 X +9

A:

Q: What is the solution for the system shown below? (2,5) (5,-2) Infinite Solutions (5,2)

A:

Q: -8. A Reflect the point (2,-4) over the y-axis. Show your work or explain. (-2,4) (2,4) B (-4, 2)…

A: (8)  given point is (2,-4) if a point is reflect about y axis than only x coordinate of point will…

Q: Question 12 of 17 Compare the volume and surface area of a sphere with a radius of 2 cm with that of…

A:

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Where…

A: A detailed solution is given below.

Q: True or false: The future value of payment means its equivalent value at a subsequent date.

A: The given data is: The future value of payment means its equivalent value at a subsequent date The…

Q: 36. 3x+6y = 11 2x+4y=9

A:

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

A: Solution: P(x)=3x2 -10x -4, D(x)=x - 3 Using long division method

Q: A salesman drives from Ajax to Barrington, a distance of 114miles, at a steady speed. He increase la…

A: The given data is:  The distance between Ajax to Barrington is d1=114 miles the distance between…

Q: Given A = -27 AC CA ВА CB AB BC -3 4 -1 2 0 ,B= -1 -2 0 3 -3 3 3 4 - Which of the following products…

A:

Q: If the present boys are 8 and there are 29 girls

A: Given :  present boys are 8 and there are 29 girls   Total number of boys = 8 Total number of girls…

Q: Solve each system by substitution Y=-2x-7;y=-8x-7

A:

Q: Sukhpreet borrowed $1500 at a simple interest rate of 2.5% per month for 6 months. How much interest…

A:

Q: 6. Evaluate the following limits: (a) 18 lim lim ¹-1. z+2i (b)(2 pts.) lim lim -3:² (c) pts) lim Co…

A: NOTE: Refresh your page if you can't see any equations. . multiply and divide by i

Q: An isosceles triangle is shown. Find the area of the triangle. (-5, 8) K -9 (-8,-1) 9. 8 7+ 6+ 54 4…

A:

Q: The 1st, 5th, and 13th terms of an arithmetic sequence, with common difference d, are the first…

A: we need to find d and r

Q: I can't see the final answer

A: Reflection in x-Axis: When a point is reflected about x-axis, its image is just opposite to itself…

Q: Question 1: 1+x 2 Binomial expansion of √1-2x to the x² ter 18 30 = 100 ✓ 0.01, approximate for √2.

A: f(x)=1+x1-2x     =1+x1-2x-12     =(1+x)1--122x+-12-12-12!(2x)2+.......     =(1+x)1+x+32x2+.......…

Q: a function similar to the one shown below, where t is the temperature (in °F) at launch and N is the…

A: Given query is to find find vertical asymptote.

Q: At the end of a certain year, the four organizations ranking 5 through 8 in home Internet users in…

A:

Q: For the function f(x)=x²-8, construct and simplify the difference quotient f(x +h)-f(x) h

A: The given function fx=x2-8. We have to find the difference quotient fx+h-fxh.

Q: 1. Which relation is a function? A. ((-2,5), (-1, 9), (0, 0), (-1,-4)) B. ((-3.-3), (0, 0), (1, 1),…

A: A function is a relation which describes that there should be only one output for each input . every…

Q: To determine the number of trout in a lake, a conservationist catches 142 trout, tags them and…

A: We are asked to find the conservationist would expect how many trout in the lake

Q: ARGENT Mattie Evans drove 240 miles in the same amount of time that it took a turbopropeller plane…

A: