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
Sharmila received 81 texts in 9 minutes what is the rate???????????????????????????????????????????????????
Arte-miy333 [17]

Question

Sharmila received 81 texts in 9 minutes what is the rate?

Answer:

<h2>9 : 1</h2>

Step-by-step explanation:

the rate is 81 : 9

semplify

9 : 1 (9 texts x minute)



7 0
3 years ago
Help 30 points!!! Sandra is graphing t=2(s+2) by plotting points. What will the graph of the equation be?
Lorico [155]

The answer is c i hope this help you out.

4 0
3 years ago
PLEASE HELP ILL GIVE BRAINLEST
Liono4ka [1.6K]

Answer:

4177

Step-by-step explanation:

add what rhode island is and then do the same for washington. then add both

6 0
3 years ago
Please I need help will mark brainliest
Vlad1618 [11]

Answer:

Arc JK: 27°

Arc NJ: 153°

Arc JL: 117°

My guess on arc KNM is 207°

My other guess for MJL is 297

JKM 180°

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the equation of this graphed line?
lorasvet [3.4K]
Slope: (y2-y1)/(x2-x1)
Points: (-4,-6), (2,6)
(6+6)/(2+6) = 12/8 = 3/2
Y = 3/2x +b
-6 = 3/2(-4) + b
-6 = -6 + b, b = 0
Equation: y = 3/2x
4 0
2 years ago
Other questions:
  • Complete the equation.<br> Please someone help.
    12·1 answer
  • Simplify the expression 14+8x2
    6·1 answer
  • 4. You want to know if there's an association between college students' spring break destinations and what year they're in. You
    11·1 answer
  • Can someone please answer this question please answer it correctly
    15·2 answers
  • The pages in Nisha s book are numbered from 1.She found that total number of 501 digids are used to write all the page numbers.F
    15·1 answer
  • Pls answer with steps
    7·1 answer
  • Avram borrows $14,500 at 5.4% simple interest to open a small business. His bank allows him 9 years to pay back the loan. How mu
    6·1 answer
  • Could someone please help me out with this
    15·1 answer
  • Subtract 9 from e. Then, divide by 2.
    12·2 answers
  • Two friends share 4 oranges equally. how much does each friend get?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!