I need help combining functions!
I need help combining functions! - 1

Answers

Answer 1
Answer: \bf \begin{cases}f(x)=\cfrac{2}{x}\n\ng(x)=\cfrac{x}{x+2}\end{cases}\qquad g[\quad f(x)\quad ]=\cfrac{[f(x)]}{[f(x)]+2}

\bf (g\circ f)(x)\iff g[\quad f(x)\quad ]=\cfrac{\boxed{(2)/(x)}}{\boxed{(2)/(x)}+2}\n\n\ng[\quad f(x)\quad ]=\cfrac{(2)/(x)}{(2x+2)/(x)}\implies g[\quad f(x)\quad ]=\cfrac{2}{x}\cdot \cfrac{x}{2x+2}\n\n\ng[\quad f(x)\quad ]=\cfrac{2x}{2x^2+2x}\implies  g[\quad f(x)\quad ]=\cfrac{2x}{2x(x+1)}\n\n\ng[\quad f(x)\quad ]=\cfrac{1}{x+1}

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At one factory the ratio of defective light bulbs produced to total light bulbs produced is about 3:500. How many light bulbs are expected to be defective when 12,000 are produced
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Jael has a monthly budget of x dollars. She spends $1,500 on her mortgage every month. One-fourth of her remaining budget is spent on recreational activities. Which equation below can be used to determine the amount, in dollars, spent on recreational activities?A. y=1500+x/4B. y=(x-1500)/4C. y=1500-x/4D.y=(x+1500)/4And show work so I could understand!

The revenue, in dollars, of a company that produces jeans can be modeled by 2x2 + 17x – 175. The cost, in dollars, of producing the jeans can be modeled by 2x2 – 3x – 125. The number of pairs of jeans that have been sold is represented by x. The profit is the difference between the revenue and the cost, 20x – 50.If 75 pairs of jeans are sold, what is the company’s profit?

Answers

To answer the problem above we apply the given. If x is represented by the number of jeans sold then we only need to substitute x. 20x - 50 = 20(75) - 50 = 1500 - 50 = 1450. Th profit of the company is 1450,

Answer:

B: $1450

Step-by-step explanation:

What is the distance between points A and B? please help!! WILL MARK BRAINLIEST!!!!

A. 29
B. 2 V 29
C. 3 V 14
D. V58

Answers

Answer:

The answer should be 7.615773...

or \sqrt58

Step-by-step explanation:

\sqrt(x^(2) -x^(1) )^(2) +(y^(2) -y^(1) )^(2) \n\n\n\sqrt(11^(2) -4^(1) )^(2) + (7^(2) - 4^(1) )^(2)\n\n \n\sqrt58 = 7.61577310586...\n

I hope this helps.

Shelly and Terrence completed x tasks in a game. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game: 90x - 20What does the first term of the expression represent?

The total points Shelly earned

The number of tasks Terrence completed

The sum of Shelly and Terrence's total points

The number of tasks Shelly completed

Answers

"The total points Shelly earned" is the one among the following choices given in the question that the first term of the expression represent. The correct option among all the options that are given in the question is the first option. I hope that this is the answer that has come to your desired help.
We are given that Terrence scored (90x - 20) points, and that he scored 20 points less than Shelly. Therefore, Shelly scored (90x - 20) + 20 = 90x.
Since the first term of the expression is 90x, this is equivalent to the number of points Shelly earned. Therefore the best answer is the first choice.

Simple Question: What is 5x6-3/9?

Answers

solve the multiplication first then the division  and the subtract them to get something like this:
30- (1)/(3)= (89)/(3)
 which simplifies to 29.7 (3 significant figure )

(q^4)^z= q^12 find the value of z

Answers

Answer:

the value of z is 3 that is if I am correct

Its just this mathematical hard question
j ÷ 5 = 2

Answers

We need to isolate j so we would multiply 5 to both sides and we would have
j = 10 so the correct answer is J = 10
lol this question not hard its very easy, the question its just telling u what is j, so basically its telling u what number divided by 5 = 2? the answer is obviously 10 cause 5 * 2 = 10. 3 more thins fyi.

1. this is elementary school work not high school

2. always read the question b4 posting so u can save points to ask real hard questions

3. I hope what I said earlier helps u out, the answer Is 10