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

Answers

Answer 1

Given:

The two functions are

[tex]f(x)=3x+1[/tex]

[tex]g(x)=x^2-6[/tex]

To find:

The function (f+g)(x).

Solution:

We know that,

[tex](f+g)(x)=f(x)+g(x)[/tex]

Putting the values of given functions, we  get

[tex](f+g)(x)=3x+1+x^2-6[/tex]

[tex](f+g)(x)=x^2+3x+(1-6)[/tex]

[tex](f+g)(x)=x^2+3x-5[/tex]

Therefore, the required function is [tex](f+g)(x)=x^2+3x-5[/tex].


Related Questions

What are the terms to this polynomial: 4x2 + 9x - 1/2

Answers

Answer:

Decimal Form:

1.5

Mixed Number Form:

1 1/2

Step-by-step explanation:

1.5. I copied the guy above !

What is the equivalent expression for 80+20n?

Answers

Answer:

100N

Step-by-step explanation:

BC 80+20=100. THEN ADD THE N AND YOU GET 100N

can someone please help meeee ?

Answers

It could possibly be the first on but I’m not completely sure

1. JP Construction is building a rectangular children's wading pool for the local community center. The pool will be 4.5 meters wide. To meet city building code guidelines, the area of the pool must not be larger than 8 square meters. Which inequality represents the possible lengths of the wading pool, where x represents the length of the wading pool in meters?

Answers

Answer:

[tex]x\leq 1.78[/tex]

Step-by-step explanation:

We are given that

Width of pool, b=4.5 m

We have to find the inequality which  represents the possible lengths of the wading pool.

Let x be the length of wading pool

We know that

Area of rectangle=[tex]length\times breadth[/tex]

According to question

Using the formula

[tex]4.5x\leq 8[/tex]

Divide by 4.5 on both sides we get

[tex]x\leq\frac{8}{4.5}[/tex]

[tex]x\leq 1.78[/tex]

On weekday mornings, it takes Leo 12 minutes to bike 2 miles to his school. This Saturday, Leo will bike to the park to meet his friends. The park is 5 miles away from Leo's house.

Answers

Answer:

30 minutes to the park

Step-by-step explanation:

12/2 = 6 min per mile

6 x 5 = 30 mins for 5 miles

Solve 2x + 5 = 12 please help ​

Answers

Answer:

first method

subtract 5 from both side

2x + 5 -5 = 12 - 5

:. 2x = 7

:. X= 2

7

divide 2 from both side

X= 2x 7

2 2

:. X= 3.5

second method

2x = 12 - 5

2x = 7

X= 2 ÷ 7

:. X= 3.5

Can someone answer this for me

Answers

Answer: x=2.5

y=-1.75

Step-by-step explanation:

x-2y=6

x=6+2y

3(6+2y)+2y=4

18+6y+2y=4

8y=-14

y=-1.75

x=6+(-1.75)(2)

x=2.5

What is the value of the constant in the equation that relates the height and
width of this rectangle?

Answers

Answer:

10 over=5

i asked this quetion

Answer:50

Step-by-step explanation:

I NEED HELP ASAP PLEASE SOLVE FOR X

Answers

ANSWER: x = 130°

EXPLANATION: You must add given angles and then subtract from 180°.

A recipe calls for one cup of flour to make six pancakes. How many pancakes can be made with ten cups of flour?

Answers

Answer:

60 Pancakes can be made with 10 cups of flour

Step-by-step explanation:

10x6=60

One cup of flour = 6 Pancakes

One cup of flour1 *10=6*10 pancakes

10 cups of flour=60 pancakes

PLEASE PLEASE PLEASEEE HELP ME
Jamal needs to purchase a countertop for his kitchen. Jamal measured the countertop as 5 ft. The actual measurement is 4.5 ft. What is Jamal’s percent error?
A) 5%
B) 11%
C) 45%
D) 50%

Answers

Answer:

percent error is 11.1%  (which agrees with answer B)

Step-by-step explanation:

The discrepancy (difference) between the measurement and the real length was: 5 - 4.5 = 0.5 ft

Then the percent difference is calculated as:

(difference / real value) * 100 = ( 0.5 / 4.5ft  ) * 100 =  11.1%

Which statement best describes the electric field around a positive charge?
A. Pairs of parallel lines with arrows that point inward extend from
the charge
B. Pairs of perpendicular lines with arrows that point outward extend
from the charge
C. Lines with arrows that point outward radiate from the charge in all
directions.
D. Lines with arrows that point inward radiate from the charge in all
directions

Answers

Answer:

C. Lines with arrows that point outward radiate from the charge in all

directions.

The statement which best describes the electric field around a positive charge is  Lines with arrows that point outward radiate from the charge in all directions, the correct option is C.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that;

The four options

Now,

This is because the electric field at a point in space is in the direction of the force that the electric field would exert on a positive test charge if there were a positive test charge at that point in space1. Because positive charges repel each other, the electric field around an isolated positive charge is oriented radially outward.

Therefore, by unitary method the answer will be Lines with arrows that point outward radiate from the charge in all directions.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

helo wat is 9 plus tin plez help also you mom old like prehistoric dinosaur

Answers

Answer:

9 plus ten is 19

Step-by-step explanation:

Answer: 21

Step-by-step explanation:

Actually its 19 but with extreme measures its 21

Plz someone simplify for me and do it step by step

Answers

Answer:

[tex] \huge \red{ \bold{ \boxed{ \blue{ \boxed {{k}^{2} - 7k - 9 + \frac{ 9}{k + 3} }}}}}[/tex]

Please help my head hurts
Background assumptions concerning Texas license plates:
• License plates have 7 characters __ __ __ __ - __ __ __
• The first 4 characters have to be letters
• The last 3 characters have to be numbers
• The last number cannot be a 9 or 1
• The first and second letter cannot be a vowel (multiple correct answers)

Answers

Answer:

jhtr638

Step-by-step explanation:

jhtr638

chose 4 random letters

then chose 3 random numbers

made sure no vowels or 9 and 1

Ella went to Crafting World Plus to buy fabric. She is trying to decide between polka-dot
fabric and striped fabric. It costs $15 to buy 4 yards of the polka-dot fabric.
)) This equation describes the cost of the striped fabric, where y represents the cost in
dollars and x represents the amount of fabric in yards:
y = 2.55x
)) Which type of fabric is cheaper?
the striped fabric
the polka-dot fabric
)) How much cheaper is that fabric?
cheaper per yard

Answers

7. I do not understand math but there is my answer

Lucy has a homework assignment and she must solve the equation
-7x + 2 = 51.

Answers

Answer:

x = -7

Step-by-step explanation:

-7x + 2 = 51

-7x = 51 - 2

-7x = 49

x = -7

Insta: 25k_kem

Amanda is a sunflower farmer. Her farm is in the shape of a parallelogram with a height measuring 13 kilometers and a base measuring 12 kilometers. What is the total land area Amanda uses?

Answers

Answer:

156

Step-by-step explanation:

To find the area of a rectangle you have to to base x height. Its the same with parrallograms becase most of them look like the attached image. If you simply take one of the triangles off one side and put it on the other it becomes a rectangle. This was the formula A= bh still works.

Choose the two rectangles with an area of 36 square feet.
10 ft
8 ft
D.
A
8 ft
4 ft
9 ft
9 ft
B.
E.
4 ft
9 ft
6 ft
C.
6 ft

Answers

It must be one of these results

How does the graph change between point A and point B?

On a coordinate plane, a graph increases from (0, 0) to point A and then continues to increase through B.
A. The graph increases.
B. The graph decreases.
C. The graph remains constant.
D. The graph increases, then decreases.

Answers

Answer:

the answer is b well i dont know i cant see any thing

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Find 25% of 80 kg A 40kg B 10kg C 8kg D 20kg help me plss​

Answers

Answer:

25% of 80 is D. 20kg

Step-by-step explanation:

50% of 80 is 40 and we know that 25% is half of 50%, so half of 40 would be 20.

So, the answer is D. 20kg

Hope this helps! :)

Maya says there are 4 hundreds in 5,467. Jenny says there are 54 hundreds in 5,467. their teacher say's they're both right. How can that be so?​

Answers

Answer: See explanation

Step-by-step explanation:

They are truly both right.

Maya says there are 4 hundreds in 5,467. This is right because the place value of 4 in 5467 is 4 hundreds = 400.

Jenny says there are 54 hundreds in 5,467. This is also correct as well. The number 5467 in words is five thousand four hundred and sixty seven. 54 hundreds equals = 54 × 100 = 5400

The place value of 5 is 5000.

The place value of 4 is 400

Addition of both gives = 5000 + 400 = 5400

If we divide 5400 by 100, we would have 54. It shows that there are 54 hundreds.

Both are correct

42+30=[BLANK](7+5)
20 POINTS!!

Answers

Answer:

42+30=72

7+5=12

72-12=60

Blank=60

Step-by-step explanation:

$5,200 at 4% for 3 years. $_

Answers

Answer:

$5,824

Step-by-step explanation:

5,200*.04=208

208*3=624

5,200+624=5,824

What is Y= -3/10x-8 written in standard form?

Answers

Answer: 3x+10y=−80
Hope this helps!

For x2=−5, choose the correct substitution for a, b, and c in the general form of ax2+bx+c=0.

a=1, b=0, c=−5

a=1, b=1, c=5

a=1, b=0, c=5

a=1, b=5, c=0

Answers

Answer:

the fourth one

Step-by-step explanation:

Answer: a=1,b=0, c=5

Step-by-step explanation: took the test the is the right answer

what is the sum of one and the product of one and a number

Answers

Answer:

the answer for this problem is 1 +×

Step-by-step explanation:

you must frame the equation with a number x

after that you have to translate the x into the equation and it can be written as

1×(1× ×)=1+×

suppose the distnace in feet that an object travels t seconds is given by the formula d=64t^2 how far would the object travel after 1.5 * 10^3 seconds

Answers

Answer:

The object travels 144,000,000 feet.

Step-by-step explanation:

The distance the object travel after t seconds is given by:

[tex]d(t) = 64t^2[/tex]

How far would the object travel after 1.5 * 10^3 seconds

This is d when [tex]t = 1.5 \times 10^3 = 1500[/tex], so [tex]d(1500)[/tex]

[tex]d(1500) = 64*1500^2 = 144000000[/tex]

The object travels 144,000,000 feet.

1. A right triangular prism that is 12 inches long, 3 inches
wide, and 4 inches tall is represented by the figure
below. What is the volume of the prism, in cubic inches?

Answers

I don’t see the figure but I think the answer could be
Volume V = 72 m3
Bottom area Abot = 6 m2

Raj and Carlos are reading. Carlos reads a chapter in 4 minutes, which is 3 minutes less time than it takes Raj.
How long does it take Raj to read a chapter?

Answers

Answer:

7

Step-by-step explanation:

Take the amount it takes carlos add the difference between carlos and raj to get the amount it takes raj

4+3=7

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