All categories

3 years ago

What is the domain of (cd)(x)?

Mathematics

1 answer:

viktelen [127]3 years ago

6 0

Answer:

Only option B is correct, i.e. all real values of x except x = 2.

Step-by-step explanation:

Given the functions are C(x) = 5/(x-2) and D(x) = (x+3)

Finding (C·D)(x) :-

(C·D)(x) = C(x) * D(x)

(C·D)(x) = 5/(x-2) * (x+3)

(C·D)(x) = 5(x+3) / (x-2)

(C·D)(x) = (5x+15) / (x-2)

Let y(x) = (C·D)(x) = (5x+15) / (x-2)

According to definition of functions, the rational functions are defined for all Real values except the one at which denominator is zero.

It means domain will be all Real values except (x-2)≠0 or x≠2.

Hence, only option B is correct, i.e. all real values of x except x = 2.

You might be interested in

Solve 4 2 + 7) = 16.

Karolina [17]

Answer:

4(2+7)=16

The answer is:

36=16

or

A

Hope this helps:3

4 0

3 years ago

A student determined that the area of the segment of c shown above is Asegment = 137.71 ft2. The student's work is shown below.

ivolga24 [154]

Answer:

Option D. The student did not use the correct formula to calculate the area of the segment

Step-by-step explanation:

step 1

Find the area of the isosceles triangle

Applying the law of sines

$A=\frac{1}{2}(12^{2})sin(60\°)=62.35\ ft^{2}$

step 2

Find the area of the sector

The area of the sector is 1/6 of the area of the circle

$A=\pi r^{2}/6$

substitute the value

$A=(3.14)(12)^{2}/6=75.36\ ft^{2}$

step 3

Find the area of the segment

The area of the segment is equal to the area of sector minus the area of triangle

$A=75.36\ ft^{2}-62.35\ ft^{2}=13.01\ ft^{2}$

therefore

The student did not use the correct formula to calculate the area of the segment

4 0

3 years ago

Slope equals 2 and the line goes through the point (-1, 3)

astra-53 [7]

Answer:

Well the slope seems rather easy to calculate because you already typed it and it is 2.

First we must solve this equation:

b = y - m*x and we input values into the equation:

b = (3) - (2 * -1)

b = 5

Then, we enter the value of "b" and the slope into this equation:

y = mx +b

y = 2x + 5

Source: https://www.1728.org/distance.htm

(Scroll to the bottom of the page.)

Step-by-step explanation:

3 0

2 years ago

Find two consecutive integers whose sum is 67.

Vlada [557]

Let the smaller integer be x.
The next larger consecutive integer is 1 more than x, so it's x + 1.

x + x + 1 = 67

2x + 1 = 67

Answer is option B.

3 0

3 years ago

Solve for d 4d > 8 (Please help)

vekshin1

Answer:

d > 2

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers