11 Feb Identify a key concept or foundational theory from the first four weeks of class and in half a page discuss how it applies to your current work environment or a recent social,

SAM WORK

EACH DISCUSSION WRITE IN 150 EACH

MATH110

Discussion 4.1

Identify a key concept or foundational theory from the first four weeks of class and in half a page discuss how it applies to your current work environment or a recent social, political or business event. Include the chapter and sub topic from your textbook.

Discussion 5.1

Two different samples of radioactive isotopes are decaying. The isotopes have initial amounts of c1 and c2 and half-lives of k1 and k2, respectively. Find an expression for the time t required for the samples to decay to equal amounts.

Discussion 5.2

In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air per minute.

(a) Determine the ventilation rate per child in a full classroom.

(b) Estimate the air space required per child.

Homework 4 College Algebra (2024) (Homework)

2. Find  f ∘  g, g ∘  f, and   g ∘  g.

f( x) = −3 x,     g( x) =  x + 5

(a)     f ∘  g

(b)     g ∘  f

(c)     g ∘  g

 

 

 

8.  Find the inverse function of  f informally.

f( x) = 2 x

f −1( x) =  

 

 

  Verify that 

f( f −1( x)) =  x

 and 

f −1( f( x)) =  x.

f( f −1( x))	=	f
	=	2
	=	x
f −1( f( x))	=	f −1
	=	2 x
	=	x

 

 

9. Find the inverse function of  f informally.

f( x) = 

1

9

x

f −1( x) =  

 

 

  Verify that 

f( f −1( x)) =  x

 and 

f −1( f( x)) =  x.

f( f −1( x))	=	f
	=	9
	=	x
f −1( f( x))	=	f −1
	=	1 9 x
	=	x

10. Find the inverse function of  f informally.

f( x) = 4 x + 7

f −1( x) =  

 

 

Verify that 

f( f −1( x)) =  x

 and 

f −1( f( x)) =  x.

f( f −1( x))	=	f
	=	4        + 7
	=	x
f −1( f( x))	=	f −1
	=	− 7 4
	=	x

Homework 5 College Algebra (2024) (Homework)

3. Use the One-to-One Property to solve the equation for  x.

2 x + 2 = 8

x = 

4. Use the One-to-One Property to solve the equation for  x.

2 x − 6 = 8

x = 

5. Use the One-to-One Property to solve the equation for  x.

1

4

	x

 = 16

x = 

6. Use the One-to-One Property to solve the equation for  x.

4 x − 5 = 

1

64

 

x = 

7. Write the logarithmic equation in exponential form. For example, the exponential form of 

log5 25 = 2

 is 

52 = 25.

log6 36 = 2

 

8.  Write the logarithmic equation in exponential form. For example, the exponential form of 

log5 25 = 2

 is 

52 = 25.

log9 

1

729

 = −3

 

 9. Evaluate the logarithm at the given value of  x without using a calculator.

Function	Value
f( x) = log2( x)	x = 16

10. Evaluate the logarithm at the given value of  x without using a calculator.

Function	Value
f( x) = log216( x)	x = 6

11. Evaluate the logarithm at the given value of  x without using a calculator.

Function	Value
g( x) = log a( x)	x =  a−3

12. Evaluate the logarithm at the given value of  x without using a calculator.

Function

Value

g( x) = log b( x) Our website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Ask A Question and we will direct you to our Order Page at WriteDemy. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline. Fill in all the assignment paper details that are required in the order form with the standard information being the page count, deadline, academic level and type of paper. It is advisable to have this information at hand so that you can quickly fill in the necessary information needed in the form for the essay writer to be immediately assigned to your writing project. Make payment for the custom essay order to enable us to assign a suitable writer to your order. Payments are made through Paypal on a secured billing page. Finally, sit back and relax. Do you need an answer to this or any other questions? Order Plagiarism Free Answer Here