Find g(f(x)), given f(x)=3x2−x+1,g(x)=2x

Answers

Answer 1

Answer:

6x²-2x+2

Step-by-step explanation:

For g(f(x)), we have to first do f(x), and then substitute it into the "x" in g(x)

So, f(x) = 3x²-x+1

We need to substitute the "x" in g(x) with this entire thing

So, g(x) = 2x

When we substitute f(x) into it, it instead becomes 2(3x²-x+1)

Next, we have to expand the brackets, and doing so gives us the following:

6x²-2x+2

So that becomes our final answer!

Let me know if it makes sense! :)


Related Questions

Select all the statements that best describe the table below.

Answers

The Correct choices are :

The rate of change is not constant

This is a negative relationship

The relationship is non - linear

The dependent variable is selling price

The independent variable is age

Answer:

See below

Step-by-step explanation:

The table shown inconsistent change of price over the year. The price drops down and is negative.

Correct choices are:

2, 4, 5, 7, 10

A biologist is developing two new strains of bacteria. Each sample of Type 1 bacteria produces four new viable bacteria, and each sample of Type II bacteria produces three new viable bacteria. Altogether, at least 240 new viable bacteria must be produced. At least 20, but not more than 60, of the original samples must by Type I. Not more than 70 of the original samples can be Type II. A sample of Type I costs $5 and a sample of Type II costs $7. How many samples of each bacteria should the biologist use to minimize the cost? What is the minimum cost?

Answers

The cost can be optimized by using a Linear Programming given the  linear constraint system

To minimize the cost, the biologist should use 60 samples of Type I bacteria and 0 samples of Type II bacteria

Reason:

Let X represent Type 1 bacteria, and let Y, represent Type II bacteria, we have;

The constraints are;

4·X + 3·Y ≥ 240

20 ≤ X ≤ 60

Y ≤ 70

P = 5·X + 7·Y

Solving the inequality gives;

4·X + 3·Y ≥ 240

[tex]Y \geq 80 - \dfrac{4}{3} \cdot X[/tex] (Equation for the inequality graphs)

The boundary of the feasible region are;

(20, 70)

(20, 53.[tex]\overline 3[/tex])

(60, 0)

(60, 70)

The cost are ;

[tex]\begin{array}{|c|c|c|}X&Y&P= 5\times X + 7 \times Y\\20&70&590\\20&53.\overline 3&473.\overline 3\\60&0&300\\60&70&790\end{array}\right][/tex]

Therefore, the minimum cost of $300 is obtained by using 60 samples of Type I and 0 samples of Type II

Learn more here:

https://brainly.com/question/17646656

please solve !!!! asap );

Answers

Answer:

<7 58

<5 47

<6 75

<4 107

<8 73

<9 49

all triangles add up to 180 and all lines add up to 180

What is the value of the expression shown?

1/2(7.9−0.08)

Answers

Answer:

3 91/100 or 3.91

Step-by-step explanation:

The table shows the heights that four people parachute from an airplane. What is the range of the heights? Write your answer as a decimal or fraction in simplest form

Answers

The range is 7/20 of a mile.

$40 jacket is 25% off how much will u save

Answers

Answer:

10 dollars

Step-by-step explanation:

solve for x.

- 6 ≥ 10 - 8 x

Answers

Answer:

[tex]x \geqslant 2 \: \: \: \: or \: \: \: \: 2 \leqslant x \\ [/tex]

Step-by-step explanation:

[tex] - 6 \geqslant 10 - 8x \\ - 6 - 10 \geqslant - 8x \\ - 16x \geqslant - 8x \\ \frac{ - 16}{ - 8} \leqslant x \\ 2 \leqslant x[/tex]

Answer:

x ≥ 2

Step-by-step explanation:

-6 ≥ 10 - 8x

=> 8x - 6 ≥

=> 8x ≥ 10 + 6

=> 8x ≥ 16

=> x ≥ 16/8

=> x ≥ 2

The width of a rectangle is three units less than the length. The area of the rectangle is 4 units. What is the length, in units, of the rectangle

Answers

length is 4

area= l*w

4-3=1

4*1= 4

An angle measures 68° less than the measure of its complementary angle. What is the measure of each angle?

Answers

90-68 =22
The answer is 22 degrees and 68 degrees

Please help me out I really can’t afford failing this test

Answers

Answer:

I'm not really sure but I think it's 2

Step-by-step explanation:

So here's what I did;

x³+3x-9=x - 1 +2x

x³+3x - x -2x = 9 - 1

x³= 8

x = ³√8

x = 2

I hope this helps

can you help me with these:
1: 2/3x=-8
2: -4.5= - 0.15p
3: 2 1/3c=2 1/10
4: 3m + 5 =14
5: -2k +7 = -3
6: 11 = 1/3a +2
ILL GIVE BRAINLY T WHOEVER DOES ALL THEM AND SHOWS WORK!

Answers

Answer:

1. x= -12

2.p= 30

3.c= 9/10 or c= 0.9

4.m= 3

5.k= 5

6.a= 27

Step-by-step explanation:

The cost of a birthday party at a skating rink is proportional to the

number of guests. The skating rink charges $82.50 for 10 guests.

The choices show the number of guests and the total cost for four

different parties that were hosted at different locations. Select each

party that was hosted with the same constant of proportionality, or

unit rate, as the skating rink's unit rate.

Answers

Answer:

Step-by-step explanation:-

-

-

-

-

-

-

-

-

The required magnitude of the constant of the proportionality is 8.25.

Given that,
The cost of a birthday party at a skating rink is proportional to the number of guests. The skating rink charges $82.50 for 10 guests.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in a sense are they directly proportional or inversely proportional to each other.

Here,
Let the number of the guest be x and the total charge for the party be y,
y = kx
Where K is the constant of proportionality,
Substitute the values in the equation for the number of guests and corresponding charges,
82.50= K(10)
K = 8.25

Thus, the required magnitude of the constant of the proportionality is 8.25.

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ5

Does x=5 satisfy the equation 3x + 2 +5x= 95 explain

Answers

Answer:

No

Step-by-step explanation:

3x + 2 +5x

if x=5

3(5)+2+5(5)

=15+2+25

=42 which is not equal to 95

No, it doesn't satisfy the equation

Step-by-step explanation:

3x + 2 +5x = 95

Now putting the value of x

3×5 + 2 + 5×5 = 95

15 + 2 + 25 = 95

42 ≠ 95

Hence, x = 5 doesn't satisfy the equation 3x + 2 +5x= 95

Two fifths divided by one half times ( negative one minus 2)

Answers

The answer is -12/5 or -2 2/5

The admission fee at an amusement park is $15.50 for children and $20.00 for adults. One day 217 people entered the park and the total admissions fees collected was $3.782
Define your variables as
"C" = # of children
"a" = # of adults
Write a system of equations to represent this information solve the system to find out how many children and how many adults came to the amusement park that day.

Answers

Answer:

Children = 124

Adults = 93

Step-by-step explanation:

x = children

y = adults

x + y = 217

x = 217 - y

15.50x + 20y = 3782

15.50 (217-y) + 20y = 3782

3363.50 - 15.50y + 20y = 3782

4.5y = 3782 - 3363:50

y = 418.50/4.5

y = 93

x + 93 = 217

x = 217 - 93

x = 124

Pls help Evaluate (7-3) = 2

Answers

Answer:

2

Step-by-step explanation:

subtract the. divide it once

Answer: 4 = 2

Step-by-step explanation:

1. (7-3) = 4

2. 4=2

two companies listed a revenue for the year in their respective websites. Company a has revenue in the amount of 1.6×10^6 and company b has revenue in the amount of 7.2x10^8. how many Times greater is the revenue for company b?

Answers

5,600,000 times greater

Fining right answer
Branleist

Answers

The first one, with the negative square root of 15 is irrational since a square root cannot be negative.
The second one is rational
The third one is rational
The fourth one is irrational

Jon painted 4/5 of his house on Saturday on Sunday he paints 2/3 of what was left how much still needs to be painted

Answers

Answer: Jon has 1/5 left to paint

Line A is perpendicular to Line B.
If the slope of Line Ais ,
what is the slope of Line B?
Enter the correct symbol, + or -.

Answers

Answer:

-7/3

Step-by-step explanation:

the answer is the negative reciprocal.

76 people left before the movie ended 124 people remained how many people were in the theater when it was full 

Answers

Answer:

Step-by-step explanation:

124 + 76 = 200 ☺

200 people

if 76 people left but 124 were still there, you’d add 76 and 124, resulting in 200

PLEASE PLEASE HELP ME
A pole that is 3m tall casts a shadow that is 1.56m long. At the same time, a nearby building casts a shadow that is 47.45 long. How tall is the building? Round your answer to the nearest meter.

Answers

Answer:

49.0?

Step-by-step explanation:

its probably wrong lol

I would say 50 meters

why tHE F is MATH HARD KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK

Answers

Answer:

well it isn't hard

have a nice day

Question
Which of the following values are in the range of the function graphed below?
Check all that apply.

A. 2
B. 1
C. O
D. 4
E-4
F. -1

Answers

Range means all y values of the function.

The answer is E. -4

Solve the linear inequality below.

9x−8>4x+7

Enter your answer as the correct inequality. For example, if your answer is x<42, enter it like this: x < 42

Answers

Answer:

x > 3

Step-by-step explanation:

Tonya's mom gave her $15.00 to spend on a Saturday outing with her friends. She spent $8.50 going to a movie. How much money does she have left to spend on lunch?​

Answers

Step-by-step explanation:

please mark me as brainlest

What is the slope of the line represented by the equation y =4/3x-3

Answers

Answer:

m, is equal to (4/3)

Step-by-step explanation:

Match the given equation y =(4/3)x-3 to the standard slope-intercept form y = mx + b.  By doing so we see that the slope, m, is equal to (4/3).

help ill give brainliest

Answers

Answer:

venti, it has more liquid per ounce

resolver el sistema x-y =6 y este otro 2x+5y= -2 porfaaaa es para mañana

Answers

Answer:

x =4

y = -2

Step-by-step explanation:

a) x - y = 6

b) 2x + 5y = - 2

a) x = y + 6

b) 2(y+6) + 5y = -2

2y + 12 + 5y = -2

7y = -2 -12

y = -14/7

y = -2

a) x - (-2) = 6

x +2 = 6

x = 6-2

x = 4

Simplify 5^4/5^3

5^7
5^-1
1/5
1/5^7

Answers

Answer:

5^4-3

by law

a^m÷a^n= a^m-n

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