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
sammy [17]
3 years ago
5

For f(x) = 3x +1 and g(x) = x2 – 6, find (f- g)(x).

Mathematics
1 answer:
Fiesta28 [93]3 years ago
8 0

Answer:

\boxed{\sf (f-g)(x) = -{x}^{2}  + 3x + 7}

Given:

\sf f(x) = 3x + 1 \\ \sf g(x) =  {x}^{2}  - 6

To find:

\sf (f - g)(x) = f(x) - g(x)

Step-by-step explanation:

\sf \implies(f - g)x = f(x) - g(x) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = (3x + 1) - ( {x}^{2}  - 6) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = (3x + 1)  + (-  {x}^{2}  + 6) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = 3x + 1 -  {x}^{2}  + 6 \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = - {x}^{2}  + 3x + 1 + 6 \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    =  -{x}^{2}  + 3x + 7

You might be interested in
A firm has a fixed cost of $500 in its first year of operation. When the firm produces 100 units of output, its total costs are
HACTEHA [7]

Answer:

option (a) $250

Step-by-step explanation:

Data provided in the question:

Fixed cost = $500

For 100 units produced Total cost = $3,500

For 101 units produced, Total cost = $3,750

Now,

Marginal cost is calculated as:

Marginal cost = \frac{\textup{Total change in cost of producing more goods}}{\textup{Total change in produced goods}}

thus,

Marginal cost = \frac{\textup{Total cost of 101 units - Total cost of 100 units}}{\textup{101-100}}

or

Marginal cost = \frac{\textup{3,750-3,500}}{\textup{1}}

or

Marginal cost = $250

Hence,

The correct answer is option (a) $250

7 0
3 years ago
Which answer represents the expression in its expanded form?
Luden [163]
The answer is 6x^2-2x-20
5 0
2 years ago
Write 85% as a fraction in simplest form.
pav-90 [236]

Answer:

17/20

Step-by-step explanation:

85% can easily be written as 85/100 and this is true, but we have to simplify to the simplest form.

An easy way to simplify is to divide the numerator and denominator by the GCF (Greatest Common Factor)

The GCF of 85 and 100 is 5.

85 ÷ 5 = 17

100 ÷ 5 = 20

We can no longer simplify 17/20 because 17 is prime so your final answer is 17/20!

Hope you have a good day and luck in finding good memes!

8 0
3 years ago
What is 10m + 12n - 5m + 3n + 5
noname [10]

Answer:

35 if the n are m but while im her pla help me with my question i rilly need the answer its ergent thnx

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
1.What is the sale price of a hardcover book with a markdown of 46% and original price of $29.00?
Brums [2.3K]

Answer:

1. 15.66 29.00 - 46%

2 29.00-15.66 13.34

4 0
2 years ago
Read 2 more answers
Other questions:
  • 325 meters in 28 seconds
    9·1 answer
  • 20×9×5 distributive property
    10·2 answers
  • Find a function rule for the line that passes through the origin​ (0,0) and the point ​(negative 9​,18​).
    5·1 answer
  • What is the product of (n -8)(n + 2)?
    9·1 answer
  • Integers are _____ irrational numbers.<br> always<br> sometimes<br> never
    5·2 answers
  • A plot of land is 5,824 square feet. It is divided into 4 equal sections.
    8·1 answer
  • What two numbers multiply to get 18 but add to get -12
    11·1 answer
  • I need help on this please n-5&gt;-2
    5·1 answer
  • Amela put 15x- 4 gallons of gas in her car at the beginning of the week. She used 7x-3 gallons driving to work. Which of the fol
    6·2 answers
  • 2/x+3/y=9/x;4/x+9/y=21/xy(x=0,y=0)​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!