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
nika2105 [10]
3 years ago
5

If f(x)=3x+1 and g(x)=x^2-6 find (f-g)(x)

Mathematics
2 answers:
8090 [49]3 years ago
6 0
Hi there!

• f(x) = 3x + 1
• g(x) = x² - 6

Then,
According to th' question :-

(f - g)(x) = f(x) - g(x)

= 3x + 1 - (x² - 6)

= 3x + 1 - x² + 6

= -x² + 3x + 7

Hence,
Option 2ⁿᵈ : -x² + 3x + 7 is Correct.

~ Hope it helps!
lord [1]3 years ago
6 0

Answer:

Option B. -x² + 3x + 7

Step-by-step explanation:

The given functions are f(x) = 3x + 1 and g(x) = x² - 6

we have to find the value of (f - g)(x)

Since (f - g)(x) = f(x) - g(x)

By replacing the values of f(x) and g(x) in the equation.

f(x) - g(x) = (3x + 1) - (x² - 6)

              = 3x + 1 - x² + 6

              = 3x + 7 - x²

              = -x² + 3x + 7

Therefore, option B. f(x) - g(x) = -x² + 3x + 7 is the correct option.

You might be interested in
Given: ∆PQR, m∠R = 90° m∠PQR = 75° M ∈ PR , MP = 18 m∠MQR = 60° Find: RQ
tensa zangetsu [6.8K]

Answer:    RQ= 8.99 ( approx)

Step-by-step explanation:

Let MR= x

Since, In triangle, PRQ, tan 75°= \frac{18+x}{RQ}

⇒ RQ=  \frac{18+x}{tan 75^{\circ}}

Now, In triangle MRQ,

tan 60°= \frac{18+x}{RQ}

⇒ RQ=  \frac{x}{tan 60^{\circ}}

On equating both values of RQ,

\frac{18+x}{tan 75^{\circ}}=\frac{x}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=2.15470053838

⇒18=2.15470053838x-x

⇒x=15.5884572681≈15.60

Thus RQ=8.99999999999≈8.99


6 0
3 years ago
What is the credit-to-debit ratio on the handy hardware credit card?
olga nikolaevna [1]

The debt-to-credit ratio of a credit account is the ratio of the balance to the credit limit:

... balance/credit limit = 245.78/3500 = 0.07022... ≈ 7.02%

The appropriate choice is ...

... A.) 7.02%

7 0
3 years ago
Why is 8(s-3) considered a single term when (s-3) is the difference of two terms?
jok3333 [9.3K]
When you have 8(s-3) you are find a product of 8 times whatever s-3 is however s-3 you are find the difference between whatever s is and 3.
4 0
3 years ago
What is the total measure of an average man's brain and heart in kilograms
serg [7]
The brain is about 1500kg when your about the age of fifteen

3 0
3 years ago
the area A of a sector circle is given by A= ... idk how to write that so look at the image please lol
Pavel [41]
A=πr^2s/360  multiply both sides by 360

360A=sπr^2  divide both sides by πr^2

s=360A/(πr^2)
5 0
3 years ago
Read 2 more answers
Other questions:
  • 5(2x + 4) = 50 (Given) 10x + 20 = 50 (Distributive Property) 10x = 30 (?) x = 3 (Division Property) Fill in the missing reason f
    11·2 answers
  • Why is ti that when you add two numbers together (5+5,6+6,3+3, etc.) you get an even sum?? I need this for my 8 year-old-brother
    11·2 answers
  • You are repairing a fence and have 7.9 metres of wood. You need 10 metres.
    7·1 answer
  • In the diagram, ABC is a straight line such that AB = 6.8 cm,BC=17.6cm,BD=8.8
    14·1 answer
  • Select True or False for each statement about equilateral triangles.
    11·1 answer
  • For every point on the graph of FX there is a point on the graph of -1x with reversed coordinates
    14·1 answer
  • You invest $15,000 in a savings account with an annual interest rate of 2.5% in
    10·1 answer
  • What are the terms or 8x+6
    14·1 answer
  • Kiran is going to see a movie and is taking his 3 kids. Each movie ticket costs $13 and there are an assortment of snacks availa
    7·1 answer
  • What is the slope of this line?<br> y-9=1/5(x-2)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!