f(x) =2x-4 and g(x) =-3x+2 find: f(g(x))

Answers

Answer 1

Answer:

f(g(x))=6x-8

Step-by-step explanation:

To keep it simple lets say if , for example

[tex]f(x)=2x-4[/tex]

then f(2) would be what?

[tex]f(2)=2(2)-4\\f(2)=0[/tex]

which means we plugged in x=2 in our f(x) this goes for same as the composite function [tex]f(g(x))[/tex] where we plug in g(x) in f(x) and replace x with g(x). I'll show you

[tex]f(x)=2x-4\\g(x)=-3x+2\\[/tex]

now we insert g(x) in f(x) cause we need f(g(x)) which means we replace x with the function g(x).

[tex]f(g(x))=-2(-3x+2)-4[/tex]

[tex]f(g(x))=6x-4-4\\f(g(x))=6x-8[/tex]

so that is our final answer.

Hope i helped


Related Questions

help please!!

For the following situation, identify the explanatory and response variable. Then discuss what reservations (think cautions) you might have about the results of the experiment. Asking “What if…” type questions may help.

Do the high, centered brake lights (which have been required on all U.S. cars since 1986) really reduce the frequency of rear-end collisions? Randomized comparative experiments with fleets of rental and business cars, done before the lights were required, showed that the third brake light reduced rear-end collisions by as much as 50%. After the lights were required the drop was only 5%.

Answers

The experiment is messed up. Business and rental drivers are usually much more careful in their driving patterns because the car isn't theirs. They are usually adults, experienced drivers who don't put themselves into risky driving situations. =  Speeding, cutting off others etc.. It also didn't tell how  much the cars were driven. There may have been a down turn in the economy and thus less business driving and same with the rentals. If they were used less after the installation then the study wasn't really valid. What was the price of gas before and after the instillation. Who did the study? Did the  previous testers have any reason to skew the study? Did they own stock in the third light business?  Was it the same people who did the study before who did the study afterwords? What was the average age of the drivers before and after? The study group may have aged and calmed down a bit more? What were the technology changes that occurred about the same time? Anti skid brakes, better material and tread designs for the tires, what about the design of the gages and their lighting.  How about the window styles and size..larger windows mean better view and potentially less accidents. What were the safety aspects of the cars before compared to the cars after, were they the same makes and Models or did the rental and business learn that certain cars were safer than others and move to the safer Models? so many variables to consider but did the tester consider them all-probably not. Random studies study only a certain percentage of the total. Who's to say the second random study didn't get less experienced drivers to study? All good what ifs'.

Use a factor rainbow to determine if 729 is a perfect square. Explain your reasoning.

Answers

Answer:

729 is a perfect square

Step-by-step explanation:

because 27 * 27 = 729

does anyone need to talk/rant about something because im here for you

Answers

Answer: sure

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

ok so I just got an email from my school saying that you need to do half the semester in ONE WEEK and I'm like, why you didn't need to do this. And also my parents are expecting me to do it ALL IN 2 DAYS AND GET AN A honestly I am very sad I am actually doing an assignment right now lol.

Line t has a slope of 3/5 line u is perpendicular to t what is the slope of line u

Answers

Answer:

[tex]\frac{5}{3}[/tex] is the slope of the line

Step-by-step explanation:

When two lines are perpendicular, their slopes are inverse.

[tex]\frac{3}{5}[/tex] becomes [tex]\frac{5}{3}[/tex] because they are inverse. Just flip the numerator (top number) and denominator(bottom number).

Hope this helps!

A system of equations is shown:
2x = -y + 6
--4x + 3y = 8
What is the solution to this system of equations?
0 (-1,-4)
O (1.4)
(4, 1)
(-4,-1)

Answers

[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]

Given two equations are :

2x = - y + 6.-4 x + 3y = 8 .

We may write them as ,

2x + y - 6 = 0 .................(i) 4x - 3y + 8 = 0 ...............(ii)

Multiplying equⁿ (i) by 2 :

⇒ 2(2x + y - 6 ) = 0.

4x + 2y - 12 = 0 .....................(iii) .

Subtract equ (ii) from equⁿ (iii) :-

⇒ 4x + 2y - 12 = 0

ㅤ- 4x + 3y - 8 = 0 [ Sign changes ]

__________________

⇒ 5y - 20 = 0.ㅤㅤㅤㅤㅤ

⇒ 5y = 20.

⇒ y = 20/5.

⇒ y = 4

Put this value in (i) to obtain x .

⇒ 2x + y - 6 = 0.

⇒ 2x +4 - 6 = 0.

⇒ 2x - 2 = 0.

⇒2x = 2 .

⇒ x = 2/2.

⇒ x = 1 .

Hence the value of x is 1 & y is 4.

[tex]\boxed{\purple{\bf\pink{\dag}\:Hence\:the\: correct\: option\:is\:[b]\:(1,4)}}[/tex]

7n - 8n - 323
????????????

Answers

Answer:

−n−323

Step-by-step explanation:

4.321 × 12.34 AND IF YOU ANSWER YOU GET 10 POINTS JUST PLS HELP

Answers

Answer:

53.32114

Step-by-step explanation:

6 TH grade math
On a hot day, Myra poured 4 1/8 buckets of water into a plastic wading pool. A few minutes later she added another 3 5/8 buckets. How much water did Myra pour into the pool?

Answers

Answer:

7 3/4

Step-by-step explanation:

4 1/8 + 3 5/8

Add the whole numbers, 4 + 3 = 7.

Add the fractions, 1/8 + 5/8 = 6/8.

You get 7 6/8. Simplify 6/8 to get 3/4.

Your answer is 7 3/4.

1. Emma’s average in math increased from an 80 to an 84. By what percentage did her average increase?

Answers

Answer:

82

Step-by-step explanation:

2. I mark as brainliest ​

Answers

Answer:

3.55 miles

Step-by-step explanation:

You add the mileage of the two trails which is 1.75+1.8=3.55 miles

A vaccine is 95 percent effective. What is the probability that it is not effective for more than 1 out of 20 individuals?

Answers

Answer:

The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:

P = 1 - P(1) - P(0)

Where:

P(1) = probability that the vaccine is not effective in one individual

P(0) = probability that the vaccine is not effective in 0 individuals.

The probability that the vaccine is effective is 0.95

Then the probability that the vaccine is not effective is 0.05.

Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:

p(1) = (0.05^1)*(0.95^19)

But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)

Then the actual probability is:

P(1) = 20*((0.05^1)*(0.95^19)) = 0.377

And P(0) is easy to compute:

P(0) = (0.05^0)*(0.95^20) = 0.358

And here we have only one possible permutation, so we do not worry about that.

Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265

This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)

Labor costs. Labor costs for a farmer are $55 per acre for corn and $45 per acre for soybeans. How many acres of each crop should the farmer plant if he wants to spend no more than $6,900 on labor?

Answers

Answer:

392984

Step-by-step explanation:

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Answers

Answer:

A

Step-by-step explanation:

By solving (x+6)(x-9), we get x^2 - 3x - 54. By looking at our y-intercept, we can see that only option A has the correct intercept.

Answer:

A

Step-by-step explanation:

Hi guys I’m bored can someone talk to me please? :)

Answers

Answer:

sure

Step-by-step explanation:

Answer:

hello

Step-by-step explanation:

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Answers

Answer:

Answer choice on the top right.

Step-by-step explanation:

A function of points can not share the same x value.

The neighborhood swimming pool drains at a rate of 99 gallons every 3 hours. At this rate, how many gallons are
emptied each hour?
Helllllpppppp meeee

Answers

Answer:

33mph

Step-by-step explanation:

because if u divide 99 by 3 that is the answer

Two angles form a linear pair. The measure of one angle is 6 less then the measure of the other angle. Find the measure of each angle

Answers

Answer: one angle would be 50 degrees while the other would be 130 degrees.

Step-by-step explanation:

¾ divid ⅖=n
Pleas answer i need a answer

Answers

15/8 or 1 7/8 if u need the decimals 1.875

I need to solve for n.​

Answers

it’s going to be 286.

last year, emilia went bowling several times and earned an average score of 100 points. this year, after taking a class at school, her average is now 98% higher. what is her current average?​

Answers

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PLZ HURRY IT'S URGENT!!!
What is the slope of the line?

y=3
options:

0


1


3


undefined

Answers

Answer:

0

There is no x or number with an x (example: y= 2x+3, the 2 would be the slope)

Answer:

0

Step-by-step explanation:

Find the missing angle measures. (2x-3),(8x) and(x+7)

Answers

Answer:

2x-3 =  29

8x = 128

x+7 =  23

Step-by-step explanation:

The sum of the angles of a triangle is 180

2x-3 + 8x+ x+7 = 180

Combine like terms

11x+4 = 180

Subtract 4 from each side

11x+4-4= 180-4

11x = 176

Divide by 11

11x/11 =176/11

x =16

2x-3 = 2*16-3 =32-3 = 29

8x = 8*16 =128

x+7 = 16+7 = 23

show that: (1-sin x)/(cos x)=(sec x - tan x)​

Answers

This is the step-by-step explanation

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What is the value of sin-1(cos(2pi/3))?

Answers

Answer:

-pi/6

Step-by-step explanation:

Answer:

-pi/6 c

Step-by-step explanation:

what is 37737332732.83838-388733883.6 equal?

Answers

Answer:

4838388.34?

Step-by-step explanation:

Text a friend and write a clear set of instructions on how to find a ratios amount

Answers

Answer:

Hi ___

A ratio is created from two numbers it can also be a fraction.

To find a ratio you have to have 2 numbers

You can take these 2 numbers and divide them so they are a unit ratio

For example 3:6 can be reduced to 1:3

Step-by-step explanation:

Hope this helps please give brainliest

More on Linear Equations & Linear Systems: Question 1
How many solutions does the system of equations below
have?
y - 2x + 2
y-r-1
Select one:
none
infinitely many
O o o o
one
two

Answers

Answer:

21

Step-by-step explanation:

what is the rate of change for the liner relationship modeled in the table?

Answers

i'm sorry wheres the picture?

Show me the picture I would love to help <3

The length of a rectangle is three times the width of the rectangle. The area of the rectangle is 48cm2. Draw the rectangle on the centimetre grid.

Answers

Answer:

The width is 4 cm

The length is 12 cm.

Step-by-step explanation:

Area of a rectangle

Given a rectangle of width W and length L, its area is calculated as follows:

[tex]A=W\cdot L[/tex]

The area of the given rectangle is 48 cm^2, and the length is three times the width, thus:

L = 3W

Substituting into the formula of the area:

[tex]W\cdot L=48[/tex]

[tex]W\cdot 3W=48[/tex]

Simplifying:

[tex]3W^2=48[/tex]

Solving:

[tex]W^2=48/3=16[/tex]

[tex]W=\sqrt{16}=4[/tex]

The width is 4 cm. Find the length:

L=3W=3*4= 12

The length is 12 cm.

The image attached shows the rectangle on the centimeter grid

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