Question: If a question is worth more than 1 mark, show all calculations and steps to receive full marks. 1. Given f(x)=3x-6 and g(x)=10-5x, determine

If a question is worth more than 1 mark, show all calculations and steps to receive full marks. 1. Given f(x)=3x-6 and g(x)=10-5x, determine the following. Simplify all answers and state any variable restrictions. a. b. (A)(x) g ool' (2 marks) (2 marks) 2. Given f(x)=3x+1, g(x)=x+2 and h(x)=(x-1), simplify each of the following functions and state any variable restrictions. a. (fog)(x) b. (hof)(x) c. (hog)(x) (2 marks) (2 marks) (2 marks) 3. If f(x)=x and g(x)=x-3 determine x such that f(g(x)) = g(f(x)). (2 marks) Page 3 of 5 4. Given f(x)=2-x and g(x)=4-x, determine y = - y=- g(f(x)) g(f(x)) 5. Solve the inequality ->-2 by first expressing it in the form 2x x+1 Express the solution in interval notation. VVS: 31 1A 22/23 and state the domain of P(x) >0. Q(x) (3 marks) (4 marks) Page 4 of 5 x+2 6. Solve the inequality 2 using case analysis. x- -3 VVS: 31 1A 22/23 (6 marks) Page 5 of 5 7. Solve the system of equations using substitution. x-3=8y 5x-9y=-47 8. Solve the system of equations using elimination. 7y=2x-3 5x-3y=22 VVS: 31 1A 22/23 (3 marks) (3 marks)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Anthony entered into a long-term construction contract in year 3. The total profit of the contract is $80,000 and does not change over the life of the contract. The contract will be completed in year...

In each case, find the derivative dy/dx. 5 a. y = 3x 4x +- - c. y 1 - 2x d. y = (3-4x + 3x)/2 7 b. y = (3xx + 1)(4 - x) 5x - 3x + 2

You are in charge of your company's small IT workforce. Your five employees currently service a government contract which means they, you, and your company must meet certain mandated minimum...

In preparing a budget for the first three months of the current year, Wonka Bar is planning the units of merchandise it must order each month. The company\'s policy is to have 2 5 % of the next...

Model the data using an exponential function f(x) = Abx. x 1 2 f(x) -62 -96.1 f(x)=-40.055 (1.5484)* x

Hun-r I I HUB-IA llllmj'r J. nanwwlvn-u LLquB-Amull' Name: Total Marks: {54 If a question is worth more than 1 mark, show all calculations and steps to receive full marks. Unit Assignment Question...

Math 20-1 2021/22 Semester Unit 1: Quadratic Functions & Equations Assignment Name: Total Marks: /54 If a question is worth more than 1 mark, show all calculations and steps to receive full marks. 1....

Hey can you please help me answer 1-6. Please write on paper with steps. Thank you. Page 1 of 6 VISTA VIRTUAL VVS: 20-1 A2 Summer 22 Page 2 of 6 VVS: 20-1 A2 Summer 22 SCHOOL 4. State the restriction...

If a question is worth more than 1 mark, show all calculations and steps to receive full marks. 1. Given the equation y = (x+ 3)-4 a. Sketch the graph (2 marks) tir- State the: b. vertex (0.5 marks)...

Determine the third derivative of f(x) if f(x) = 2x^6 -x^5 + 4x^-2 - 2x^-1 + 5x -8 f a question is worth more than 1 mark, show all calculations and steps to receive full marks. Determine the third...

PROBLEMS IN PROBABILITY AND THE PIGEONHOLE PRINCIPLE Instructions: For the following project, you are encouraged to work in groups of up to four people. If you do work in a group, each group member...

Anh Nguyen, a single 24 year old, recently completed her undergraduate degree in accounting at Vietnamese National University in Hanoi. She applied to and was accepted into Southern California...

Based on the following financial statements and information given below, compute the following for the year 2010: a. The cash inflow from operations b. The cash outflow from operations c. The net...

Use any method to evaluate the integral. x 3 d x x 2 - 9

Purchasing Department cost drivers, activity-based costing, simple regression analysis. Fashion Flair operates a chain of 10 retail department stores. Each department store makes its own purchasing...

In his will, Frank's uncle has given Frank the choice between two alternatives: Alternative 1$2000 cash Alternative 2$150 cash now plus $100 per month for 20 months beginning the first day of next...

A baseball is thrown from the roof of a 22.0-m-tall building with an initial velocity of magnitude 12.0 m/s and directed at an angle of 53.10 above the horizontal. (a) What is the speed of the ball...

A small sphere with mass 1.50 g hangs by a thread between two parallel vertical plates 5.00 cm apart (Fig). The plates are insulating and have uniform surface charge densities +σ and - σ....

Sharp Motor Company has two operating divisionsan Auto Division and a Truck Division. The company has a cafeteria that serves the employees of both divisions. The costs of operating the cafeteria are...

At year-end, Spring, Inc. has cash of $16,000, current accounts receivable of $90,000, merchandise inventory of $45,000, and prepaid expenses totaling $5,100. Liabilities of $50,000 must be paid next...

Lisa Sizemore, a taxpayer in the 10-15 percent tax bracket, purchased stock as an investment on July 11, 2011. She sold the stock on July 9, 2012, 2 days before qualifying for the long-term holding...

Leslie is a single taxpayer who is under age 65 and in good health. For 2012, she has a salary of $23,000 and itemized deductions of $1,000. Leslie is entitled to one exemption on her tax return. a....

Jason and Mary Wells, friends of yours, were married on December 30, 2012. They know you are studying taxes and have come to you with a question concerning their filing status. Jason and Mary would...

The following data were obtained by observing a three- step job of a financial managers assistant. a. Using the data and an allowance of 10 percent of job time, determine a standard time for the...

The manager of a large office intends to conduct a work sampling of the time the staff spends on the telephone. The observations will be taken over a period of 50 workdays. The office is open five...

Design a schedule of work sampling observations in which eight observations are made during one eight- hour day (use 0: 00 to 7: 59). Using Table, read the last digit going down column 4 for hours...