All categories

3 years ago

Let f(x) = 16 – x^2, g(x) = 4 – x. Find (fg)(x) and its domain.

Mathematics

1 answer:

pogonyaev3 years ago

5 0

Answer:

x+4; all real numbers except =-4

Step-by-step explanation:

f(x)/g(x) = (x2-16)/(x+4)

The domain is all real numbers except x = -4 (because the denominator is zero at x = -4 and division by zero is undefined.)

We can simplify by factoring the numerator:

(x2-16)/(x+4) = (x-4)(x+4)/(x+4) = (x-4)

The domain is the same as the original expression: all real numbers except x = -4

You might be interested in

14. Which transformation from the graph of a function f(x) describes the graph of 10f(x)? 2. ( Responses: horizontal, vertical)

BabaBlast [244]

Answer: Your mom

Step-by-step explanation:

HEHEHEHA

7 0

3 years ago

1. When John received his W2, he received several copies. Why was he sent multiple copies of this form?

Firlakuza [10]

1. W2 is a form every empoyer send to his employees that reports the annual wagges of the employees and the amount of taxes. This W2 form is sent at the end of the year. The employees get at least two copies of this form. One copy is for the employee and the other is for IRS (Internal revenue Service) to report the wages. 2. John's employeer sent John the W-2 form. Every employer is obligated to deliver W2 form to all of his employees. John can get copy of the W-2 form for IRS (Internal Revenue Service). This is done for a fee. 3/ In order to know how much John did in wages in the 2014 we must have knowledge of John's salaty. Without this information we can not clculate the wages.

7 0

3 years ago

Read 2 more answers

An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than

Sauron [17]

The test statistic for the hypothesis would be 1.413.

Given that the participants in its new diet program lose, on average, more than 13 pounds and the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds.

The objective is to text the advertisement's claim that participants in new diet program lose weight, on average, more than 13 pounds.

Hypothesis:

Null hypothesis:H₀:μ=13

Alternative hypothesis:Hₐ:μ>13

Here, μ be the mean weight loss of all participants.

n=30,

Degree of freedom n-1=30-1=29

$\bar{x}$ =13.8 and s=3.1

To test the null hypothesis H₀, the value of test static would be calculated as follows:

$\begin{aligned}t&=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}}}\\ t_{29}&=\frac{13.8- 13}{\frac{3.1}{\sqrt{30}}}\\ &=\frac{0.8}{0.566}\\ &=1.413\end$

Hence, the value of the test static for the hypothesis with the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds is 1.413.

Learn more about hypothesis from here brainly.com/question/14783359

#SPJ4

6 0

2 years ago

Complete the table for the equation y = x 2. Then use the table to graph the equation.

Brrunno [24]

The coordinates (starting from left) are
(-2,-4)(-1,-3)(0,-2)(1,-1)(2,0)

to find the y..
- ur given y=x-2
- u have all the x values on the table

so say u wanna find the y for -2, just plug it into the equation y = x - 2
so then it’ll be y = (-2) - 2
the only reason u can plug in the -2 is bc the -2 is a x value

same logic for the other numbers on the table, to find the y value for -1 just plug in -1 into y = x - 2
so then it’ll be y = (-1) - 2

3 0

2 years ago

Read 2 more answers

24 written as a percentage

Yanka [14]

Any number is equal to that number over 1

So x is equal to x/1

Same thing with 24. 24 = 24/1

To get it into percent we multiply by 100 so:

$\sf{\frac{24}{1}=\frac{24\times100}{1\times100}}$

And simplifying that we get

$\sf{\frac{2400}{100}}$

And x/100 = x%

so 2400/100 = 2400%

So your answer is 2400% :)

5 0

3 years ago