1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vadim26 [7]
3 years ago
14

If f(x) = 2x2 + 1 and g(x) = x2 – 7, find (f – g)(x).

Mathematics
1 answer:
nadya68 [22]3 years ago
5 0

Answer:  The required value is

(f-g)(x)=x^2+8.

Step-by-step explanation: The given functions are:

f(x)=2x^2+1,\\\\g(x)=x^2-7.

We are given to find the value of (f-g)(x).

We know that, if s(x) and t(x) are any two functions of a variable x, then we have

(s-t)(x)=s(x)-t(x).

Therefore, we have

(f-g)(x)\\\\=f(x)-g(x)\\\\=(2x^2+1)-(x^2-7)\\\\=2x^2+1-x^2+7\\\\=x^2+8.

Thus, the required value is

(f-g)(x)=x^2+8.

You might be interested in
Hozumi recorded the daily high temperatures for an 18-day period in the table shown please I need this really badly
mr Goodwill [35]

Answer:

the answer is letter A

Step-by-step explanation:

7 0
3 years ago
Mr. Castillo earns 270,920.64 a year. What is his monthly salary?
lozanna [386]

We need to divide for this. Since there are 12 months in a year, we divide his yearly salary by 12.

270,920.64÷12=22,576.72


So, Mr.Castillo's monthly salary is $22,576.72.

8 0
3 years ago
Lesson 12 practice problem number 2 imath book unit 1 geomitry
Nostrana [21]

Ur not telling us how to solve or what to solve.

6 0
3 years ago
The collection of all possible sample points in an experiment is
son4ous [18]

Answer:

The Answer is Sample Space

Step-by-step explanation:

3 0
3 years ago
Charlene is a video game designer and wants to make sure that her games can be played on all types of screens. In order for the
natka813 [3]
<h3>Answer:</h3>

C. The playable area has a width of 9 inches and a height of 6 inches.

<h3>Explanation:</h3>

There are a number of ways you can get there.

1. Check the answers to see which have the right area and aspect ratio.

  • A: area = 24 in² — does not match 54 in²
  • B: area = 54 in², aspect ratio 6:9 = 2:3 — does not match 3:2 aspect ratio
  • C: area = 54 in², aspect ratio 9:6 = 3:2 — <em>matches problem statement</em>
  • D: area = 121.5 in² — does not match 54 in²

2. If the screen were 3:2 (inches), its area would be 6 in². The area of 54 in² is 9 times that value, so the actual screen dimensions are √9 = 3 times 3:2. That is, they are width:height = 9:6 inches — matches selection C.

3. You can write equations for width and height and solve.

  • w/h = 3/2
  • wh = 54

Substituting w=3/2·h into the second equation gives

... (3/2)h·h = 54

... h² = 36 . . . . . multiply by 2/3

... h = √36 = 6 . . . . square root, result in inches . . . . matches selection C

3 0
3 years ago
Other questions:
  • What is measure of angle P?
    10·2 answers
  • Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
    10·1 answer
  • Please help, thanks!!!!!
    11·1 answer
  • Write which goes in each box plz help ASAP!!!
    13·2 answers
  • Find cos(ZA).<br> Choose 1 answer:
    12·1 answer
  • As an estimation we are told 5 miles is 8 km. Convert 22.5 miles to km.
    8·1 answer
  • What is another name for &lt;1?
    12·1 answer
  • Re-write the quadratic function below in Standard Form<br> y = 7(x - 1)(x – 6)
    6·1 answer
  • Can anyone help me out plz
    13·1 answer
  • A pizza had 9/10 left before Lucas ate 4/5 of the pizza. How much pizza is left over?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!