If f (x) = 3x + 2 and g(x) = x^2 + 1 which expression is equivalent to ( f o g) (x)

Answers

Answer 1
Answer:

Answer:

( f o g) (x) = 3x²+5

Step-by-step explanation:

We have given two functions :

f (x) = 3x + 2

g(x) = x² + 1

We have to find   ( f o g) (x) =?

( f o g) (x) = (f(g(x))

Putting the values of functions in above formula.

( f o g) (x) =  3(x²+1)+2

( f o g) (x) =  3x²+3+2

Adding like terms,we have

( f o g) (x) = 3x²+5

( f o g) (x) = 3x²+5 is the answer.

Answer 2
Answer:

Answer: (f o g)(x)=3x^(2)+5

Step-by-step explanation:

To solve this problem you must apply the following proccedure:

(f o g)(x) indicates that you must substitute the function g(x) into the function f(x).

Therefore, you have:

(f o g)(x)=3(x^(2)+1) +2

Now, you must simplify it, as it is shown below:

Apply the distributive property and add the like terms:

(f o g)(x)=3x^(2)+3+2

(f o g)(x)=3x^(2)+5


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How do I simplify:

-4x + 4x*
______
-32x+32

* meaning squared

Answers

-x/8 you take -4x out as a factor of the numerator and 32 out as a factor of the bottom line. Then cancel the (1-x)'s and youre left with -4x/32. Then divide both top and bottom by 4 = -x/8

How much is it: (more process pls)
7 - [3 - (4 +4) +2]

Answers

Hi


7-[3-(4+4)+2]

7-(3-8+2)

7-(-3)

7+3

= 10


I hope that's help and if you have questions please ask me :)


How do you find the surface area of a triangle prism

Answers

Answer: I got it

Step-by-step explanation:

SA = bh + (s1 + s2 + s3)H

what is the answer for:

 

r = 9 ft

r = 21 m

d = 30 cm 

d = 24 cm

r = 15.2 in

r = 16.01 ft 

 

please answer them i just want the answer like example the answer for r= 9 ft is 56.52 ft

 

thanks!!!

 

 

Answers

r-a\ radius\ of\ the\ circle\n\nd-a\ diameter\ of\ the\ circle\n\na\ circumference\ of\ the\ circle:2\pi r=d\pi\n\nr=9ft\to2\pi r=2\pi\cdot9=18\pi\approx18\cdot3.14=56.52\ (in)\n\nr=21\ m\to2\pi r=2\pi\cdot21=42\pi\approx42\cdot3.14=131.88\ (m)\n\nd=30cm\to d\pi=30\pi\approx30\cdot3.14=94.2\ (cm)\n\nd=24cm\to d\pi=24\pi\approx24\cdot3.14=75.36\ (cm)\n\nr=15.2\ in\to 2\pir=2\pi\cdot15.2=30.4\pi\approx30.4\cdot3.14=95.456\ (in)\n\nr=16.01\ ft\to2\pi r=2\pi\cdot16.01=32.02\pi\approx32.02\cdot3.14=100.5428(ft)

Please help me solve #2

Answers

the answer is D because the others don’t work

Answer D, because 3•6+6 does not equal 18.

A music school charges a registration fee in addition to a fee per lesson. Music lessons last 0.5 hour. The equation y = 40x + 30 represents the total cost y of x lessons. Find and interpret the slope and y-intercept of the line that represents this situation. Then find four points on the line.

Answers

y=mx+b   M is the slope.Therefore, 40 is slope.

To find Y intercept, you substitute X for 0
So it becomes, y=40(0)+30
Solve it,  y=0+30
y=30
If Y=30 x=0
Y intercept is (0,30)
                       x   y
To find four points, you use the slope. 

Final answer:

The slope of the line in the provided equation represents the cost of each music lesson, while the y-intercept represents the registration fee. These two components are used to calculate the total cost of taking 'x' number of music lessons. Examples of four points on this line include: (0,30), (1,70), (2,110) and (3,150).

Explanation:

In the equation y = 40x + 30, 'y' represents the total cost of music lessons, 'x' represents the number of lessons, 40 is the slope, and 30 is the y-intercept.

The slope, 40, means that each music lesson costs $40. This is a constant rate and doesn't change no matter how many lessons a student takes.

The y-intercept, 30, represents the registration fee that is charged in addition to the cost per lesson. This is a one-time fee that's added to the total cost of the lessons.

For example, four points on the line could be (0,30) when no classes are taken, (1,70) for one class, (2,110) for two classes, and (3,150) for three classes.

Learn more about Slope and Y-Intercept here:

brainly.com/question/19824331

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