if f(x)=3x-1 and g(x)=x+2,find (f+g)(x)

Answers

Answer 1

Answer:

(f + g)(x) = 4x + 1

Step-by-step explanation:

Given f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x):

We can rewrite (f + g)(x) as f(x) + g(x), and solve the composite functions through addition:

f(x) + g(x) = (3x - 1) + (x + 2)

Combine like terms:

f(x) + g(x) = 3x + x + 2 - 1 = 4x + 1

Therefore, (f + g)(x) = 4x + 1.

Please mark my answers as the Brainliest if you find my explanations/solution helpful :)


Related Questions

Mr. Reyes broke his bicycle. He asked Renato to fix it. Renato charged 350 php for the
new parts of the bicycle and 150 php per hour for labor to repair the bicycle. If Renato
spent 4 hours repairing Mr. Reyes’ bike, what is the total amount he needs to pay?

a. What is asked?
b. What are the given numbers?
c. What are the operations needed?
d. Write the number sentence.
e. Solve. Show your solution.​

Answers

Answer:

950 php

Step-by-step explanation:

a. What is asked?

Find the total amount for repair of the bike.

b. What are the given numbers?

350 php for parts and 150 php per hour for labor. Total 4 hours repair duration.

c. What are the operations needed?

Multiplication and addition

d. Write the number sentence.

Find the labor charge by multiplying the rate by the number of hours and add to the cost of parts.  

e. Solve. Show your solution.​

350 + 150*4 = 350 + 600= 950 php

228 ÷ 2? Help PLEASE ITS MY HOMEWORK

Answers

114 divide 228 in half
228 / 2 = 114! Hope this helps!

Plz help it’s due tonight!!!

Answers

Answer:

T = N

Step-by-step explanation:

Find the missing angle

Answers

58 degrees……….:..:………..

Answer:

58 degree

Step-by-step explanation:

the total degree of the three interior angles together of a triangle = 180

here 2 sides are given so to find the 3rd angle we can just add the other 2 angles and subtract it from 180

so it'll be

[tex]65 + 57 = 122[/tex]

[tex]180 - 122 = 58 \: degrees[/tex]

answer = 58 degree

Solve this equation. Enter your answer in the box. -5/6 - 2/3e=24

Answers

Answer:

[tex] - \frac{5}{6} - \frac{2}{3} e = 24 \\ - 1.2 - 1.5e = 24 \\ - 1.5e = 24 + 1.2 \\ - 1.5e = 25.2 \\ e = - \frac{25.2}{1.5} \\ e = - 16.8 [/tex]

havent used this website in a minute lol
100 points show ALL steps

Answers

[tex]\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}[/tex]

[tex]\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}[/tex]

[tex]\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}[/tex]

[tex]\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)[/tex]

[tex]\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}[/tex]

Answer:

[tex]9xy\sqrt{3y}[/tex]

Step-by-step explanation:

See the steps below:

[tex]\sqrt{108x^2y^3} -\sqrt{12x^2y^3} +x\sqrt{75y^3} =[/tex][tex]\sqrt{36*3x^2y^2y} -\sqrt{4*3x^2y^2y} +x\sqrt{25*y^2y} =[/tex][tex]6xy\sqrt{3y} -2xy\sqrt{3y} +5xy\sqrt{3y} =[/tex][tex](6 - 2+ 5)xy\sqrt{3y} =[/tex][tex]9xy\sqrt{3y}[/tex]

Ill give brainly

The diagram below, not drawn to scale, shows a prism of length 30 cm. The . cross-section WXYZ is a square with area 144 cm”.

Calculate (i) the volume, in cm', of the prism ( 2 marks) (ii) the total surface area, in cm', of the prism. ( 4 marks)​

Answers

Answer: 1) 4320 cm^3

              2) 1728 cm^2

Step-by-step explanation:

1) V= 12 x 12 x 30 = 4320

2) S= 144 + 144 + 12 x 30 x 4 = 1728

present value computations are also referred to as

Answers

Answer:

market price

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Joans father is 38 years old today how many days old is he?

Answers

Joans father is 13,870 days old

38 X 365= 13,870

Given that lines a and b are parallel and that m∠3 = 66°, find m∠8.A)42°B)66°C)84°D)114°

Answers

Answer:

b 66

Step-by-step explanation:

guys pls help me!!!!!!!

Answers

Answer:

23

Step-by-step explanation:

90 + 67 + x = 180

157 + x = 180

x = 23

X=23

180=x+67+90 (combined like terms)
180=x+157 (subtract 157 from both sides)
23=x

When the data points on a graph shows a steady trend and it upward direction there is what?

Answers

Answer:

An upward trend

Step-by-step explanation:

When data points on a graph show a steady upward trend, it is typically referred to as a "positive correlation" or "positive trend."

We have,

A positive correlation means that as one variable increases, the other variable tends to increase as well.

In other words, there is a positive relationship between the two variables being plotted on the graph.

Positive correlation is often represented by a line that slopes upward from left to right on a scatter plot or graph.

Thus,

When data points on a graph show a steady upward trend, it is typically referred to as a "positive correlation" or "positive trend."

Learn more about positive correlations here:

https://brainly.com/question/27886995

#SPJ3

HELOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

Answers

Answer:

BBBBBBBB

Step-by-step explanation:

Answer:

B: | 7 |

Step-by-step explanation:

subtract 11 with 4 to get 7, but you keep the rest to show that it has to stay as a positive number.

hope this helps :)

helppp meeeeeeeeeeeeeeeeeee

Answers

Answer:

0.887 kg

Step-by-step explanation:

3.548/4=0.887

Answer:

.887 kg per container

Step-by-step explanation:

Take the total amount of peanut butter and divide by 4

3.548 / 4

.887 kg per container

find H.C.F of x3 and x2​

Answers

Answer:

Step-by-step explanation:

joe mamma

A marathon runner covers a distance of 42.2 kilometers in 2 hours and 36
minutes. What was his average speed in kilometers per hour? *

Answers

16.23km/h. 42.2/2.6 = 16.2307692. Round to nearest hundredth. Please give me a brainliest if this helped!

Find the slope of the line that passes through the following points: 5,10.5 25,12.5

Answers

the slope is 1/10

y2 - y1 / x2 - x1

An ostrich was 960meters east of its nest. It ran west at a constant velocity for 160seconds. In that time, it ran halfway to its nest. What was its velocity?

Answers

Answer is 3 m/s.

Step-by-step explanation:-

The ostrich ran at a constant velocity, so it's velocity was :

[tex]velocity = \frac{distance}{time} [/tex]

It is said that the bird ran for 160 seconds and it made it half-way to its nest, so the distance was :

[tex]distance = \frac{960 \: metres}{time} [/tex]

[tex]distance = 480 \: metres[/tex]

And the velocity is :-

[tex]velocity = \frac{480 \: metres}{160 \: seconds} [/tex]

[tex]velocity = 3 \: m/s[/tex]

Therefore, the ostrich ran at a velocity of 3 m/s .

Dilate XYZ at Center 0 and a scale factor of 12
0
2
Dilate FGHJ at center Rand

Answers

Where is the diagram?

what is the area of a rectangle with a length of 1/12 foot and a width of 3/4 foot?

A: 1/16 ft2
B: 1/12 ft2
C: 2/3 ft2
D:5/6 ft2 DUE TODAY PLZ DO WORK WORK 150 POINTS!!!

Answers

L=1/12ftB=3/4ft

Area::

L×B1/12×3/43/481/16ft^2

find the values of p and q​

Answers

Question -

If the ordered pairs (p, -1) and (5, q) belong to {(x, y): y = 2x-3}, find the values of p and q.

Solution -

Given -

the ordered pairs (p, -1) and (5, q) belong to

{(x, y): y = 2x-3)}

To find -

the values of p and q

Solution -

{(x, y): y = 2x - 3}

Putting,

x = p and y = -1

[tex]\:\:\:\:\:\implies\:\:[/tex] {(p, -1): - 1 = 2p - 3}

[tex]\:\:\:\:\:\implies\:\:[/tex] -1 + 3 = 2p

[tex]\:\:\:\:\:\implies\:\:[/tex] {2 = 2p}

[tex]\:\:\:\:\:\implies{\tt{\:\:p=\frac{\cancel{2}}{\cancel{2}}}}[/tex]

[tex]\:\:\:\:\:\implies{\boxed{\tt{\:\:p=1}}}[/tex]

{(x, y): y = 2x -3}

Putting,

x = 5 and y = q

[tex]\:\:\:\:\:\implies\:\:[/tex] {(5, q): q = 2(5) - 3}

[tex]\:\:\:\:\:\implies\:\:[/tex] q = 10 - 3

[tex]\:\:\:\:\:\implies{\boxed{\tt{\:\:q=7}}}[/tex]

[tex]\therefore\bf{p=1\:and\:q=7}[/tex]

Pls Help
Can i make -14/21 into a whole number?

Answers

Answer:

no

Step-by-step explanation:

Write 360 as a product of primes.
Use index notation when giving your answer

Answers

Answer:

First, find any number that divides evenly into 360. Perhaps the number that comes to mind, since it ends in a 0, is 10. Since 10 divides into 360 and the result is 36, you can write 360 = 10*36.

Step-by-step explanation:

Sana makatulong

Please help and hurry!

Answers

Answer: 3 option correct

Figure ABCD is a parallelogram.
What is the perimeter of ABCD?
A
4y - 2
B
3x - 1
122+2
D
2y + 6

O 14 units
O 38 units
044 units
O 49 units

Answers

Answer:

38

Step-by-step explanation:

Which equation does the graph below represent?

A coordinate grid is shown. The x-axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y-axis values are from negative 10 to positive 10 in increments of 2 for each grid line. A line is shown passing through the ordered pairs negative 4, 8 and 0, 0 and 4, negative 8.

y = −2x
y = fraction negative 1 over 2x
y = 2x
y = fraction 1 over 2x

Answers

Answer:

y = -2

Step-by-step explanation:

The graph passes through (0,0) and (-1,2).

The equation of a line passing through the origin is of the form,

y = mx

We now substitute (-1,2) to obtain,

2 = -m

This implies that,  

m = -2

The equation is

y = -2

I also took the test I got it right

dave can clean pools at a constant rate of 3/5 pools/hour. how many pools can dave clean in 15 hours?

Answers

pretty sure that its 9, multiply 3/5 (.6) by 15 and you get 9

Show steps please
let x and y be the functions of time t that are related by the equation 2x^2 + 3y^3 - 4 x y = 36. At the same time t =1, the value of x=2, the value of y = -2 and the value of dy/dt is 4. Find the value of dx/dt at time t=1

Answers

Answer:

I cant understand..

Step-by-step explanation:

Classify the system of equations and identify the number of solutions.
2x + y = 5
6x + 3y = 25
inconsistent; one
consistent, dependent; one
consistent, dependent; infinite
inconsistent; none
HELP ASSAP PLS

Answers

Step-by-step explanation:

2x + y = 5 (times 3)

6x + 3y = 25

↓↓↓↓↓↓↓↓↓↓↓↓

6x + 3y = 15

6x + 3y = 25

No solution

2x+y=5

y=-2x+53y=-6x+15--(1)

6x+3y=25

3y=-6x+25

As slopes are equal lines are parallel

So no solutions

Option D

Rewrite each number without using an exponent.
5. 5 to the second power
6. 12 to the second power
7. 4 to the third power
8. 6 to the 1st power
9. 4 to the 2nd power
10. 100 to the 1st power​

Answers

5. 25

6. 144

7. 64

8. 6

9. 16

10. 100

I’m assuming you mean like this

5. 5 x 5

6. 12 x 12

7. 4 x 4 x 4

8. 6 x 1

9. 4 x 4

10. 100 x 1

I hope this helps
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