For f(x) = 5x and g(x)= x + 9, find
(fog)(x); b. (gof)(x); (fog)(3)
a.
C.
a.
(fog)(x)=
(Simplify your answer.)

Answers

Answer 1

Answer:

(fog)(x)  = 5x+45(gof)(x)   = 5x+9(fog)(3) = f(g(3)) = f(12) = 60    

Step-by-step explanation:

Given

f(x) = 5xg(x) = x + 9

Finding (fog)(x)

(fog)(x)  = f(g(x))

(fog)(x)  = f(x+9)

(fog)(x)  = 5(x+9)             ∵ substitute x as x+9 in the f(x)

(fog)(x)  = 5x+45

Finding (gof)(x)

(gof)(x) = g(f(x))

(gof)(x)  = g(5x)

(gof)(x)   = 5x+9                 ∵ substitute x as 5x in the g(x)

Finding (fog)(3)

(fog)(3) = f(g(3))

substitute x = 3 in the g(x)=x+9

g(x) = x+9

g(3) = 3+9

g(3) = 12

so

(fog)(3) = f(g(3)) = f(12)

now substitute x = 12 in  f(x) = 5x

f(x) = 5x

f(12) = 5(12)

f(12) = 60

Thus,

(fog)(3) = f(g(3)) = f(12) = 60


Related Questions

Is 3x - y = -6 an euation for a graph

Answers

Answer:

no this can't become a number that can be graphed

HELP ILL GIVE BRAINLIEST AND POINTS
Find the percent decrease. Where necessary round to the nearest tenth of a percent

1. from 60 to 48

2. from 180 to 108

3. from 64 to 24

4. from 6.5 to 4.8

5. The average cost of a gallon of gasoline was $1.29 in 1997 and $1.12 in 1998. Find the percent of decrease.

Answers

Answer:

Hey, ill do like 2 and you can do the rest

percent decrease or change is

new-old over old

So like #1

1) 60 is old, 48 is new

so 48-60=-12

now over old which is 60

-12/60

-1/5

20 percent decrease

2) 180 is old, 108 is new

108-180=-72

-72/180

40 percent decrease

Step-by-step explanation:

Please help I’ll give you brainliest
Jim's timecard is below. For each day figure out the total hours he
worked (a-e), and find the total number of hours he worked for the week. Please help
TOTAL
OUT
4:30
5:00
a.
b.
Monday
Tuesday
Wednesday
Thursday
Friday
IN
8:30
8:30
8:30
8:00
8:30
OUT
11:30
12:30
11:30
12:00
11:30
IN
12:30
1:00
12:00
12:30
12:30
C.
d.
6:00
6:30
7:30
Total
e.
f.

Answers

Answer:

a. 7

b 8

c 9

d 10

e 10

f 44

Step-by-step explanation:

please help!
Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(7, 1) (0, -3)

Answers

correct answer is that i need help with this too.

Using the equation below, determine the following:
y=-32-17
SLOPE:
Y-INTERCEPT:

Answers

Answer:

slope: 0

y-intercept:(0,49)

Step-by-step explanation:

Hope this helps!

Answer:

SLOPE: 0

Y -INTERCEPT: 49

Step-by-step explanation:

y = -32 - 17 (collect like terms)

y = 49

The slope would be zero because it doesn't have an x-intercept.

The line would look like this..

49 -------------------------------------------- completely flat like the floor so zero slope.

HOPE THIS HELPS!1

A cinema sold 1000 tickets on a Saturday evening. Adult tickets cost £9, children's tickets cost £5, and a total of £6680 was collected
If there are a Adult tickets and cChildren tickets, write down two simultaneous
equations connecting a and c.
Solve your equations to find how many tickets of each kind were sold.
A=
C=

Answers

Everybody says holy but nobody asks how is the holy cow
..... (¯`v´¯)♥
.......•.¸.•´
....¸.•´
... (
☻/
/▌♥♥
/ \ ♥♥ PEANUT WINGS Just in time for holiday cookie season, we’ve discovered that the vanilla flavoring in your baked goods and candy could come from the butt hole excretions of beavers.

What is the y-intercept of the graph?

Answers

Answer:

4

Step-by-step explanation:

What is the y-intercept of the graph?
The y-intercept is 2

ms. daring just finished a 7 mile run.
how long (in minutes) do you think it took ms. daring (she ran cross country in college even though she is more of a sprinter!)​

Answers

Answer:

11.265 minutes.

Step-by-step explanation:

A minute is about a a kilometer so 7 miles is about 11.265 minutes.

For which system of equations is the graph below a solution

Answers

Answer:

what is the equation for D?

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Arnold has $24 to spend at the movies. His ticket is $12. He bought popcorn, candy bar, and soda. Popcorn is double the prize of the soda. The soda and candy bar are same prize. How much did he pay for the soda?

Answers

Given:

Arnold has $24 to spend at the movies.

Ticket = $12

Popcorn is double the price of the soda.

The soda and candy bar are same price.

To find:

The price for the soda.

Solution:

Let x be the price of soda.

According to the question,

Price of candy = Price of soda = x

Price of popcorn = 2(price of soda) = 2x

Total amount = Ticket + Popcorn + Soda + Candy

[tex]24=12+2x+x+x[/tex]

[tex]24=12+4x[/tex]

[tex]24-12=4x[/tex]

[tex]12=4x[/tex]

Divide both sides by 4.

[tex]\dfrac{12}{4}=x[/tex]

[tex]3=x[/tex]

Therefore, the price of soda is $3.

Please help!
What is the probability that the arrow will land on a number that is divisible by 3 ir Brian spins it one time?​

Answers

Answer:

%25

Step-by-step explanation:

Mrs. Brown uses 1/4 package of graph paper for each class. She needs 1 1/2 packages to serve all of her classes. How
many classes does Mrs. Brown teach?

Answers

The answer is 6.
1/4 goes into 1 1/2 6 times. :)

Answer:

I think the answer is 6 sorry if i'm wrong

Step-by-step explanation:

pls help me with this question.

Answers

Answer:

Option B

Step-by-step explanation:

Slope = Change in y / Change in x

Slope = (8 - 2) / {6 - (-4)}

Slope = 6 / (6 + 4)

Slope = 6 / 10

Slope = 3 / 5

So option B is your answer

a plane has fees for 420 passengers 15% of the seats are empty how many passengers are on the plane​

Answers

Answer:

357 passengers

Step-by-step explanation:

[tex]\frac{x}{420}=\frac{85}{100}[/tex] (The [tex]\frac{85}{100}[/tex] is 85% of the 100% people because 15% is missing)

When you cross-simplify you get: [tex]\frac{x}{21}=\frac{85}{5}[/tex] which is [tex]\frac{x}{21}=17[/tex]

Finally, multiply 17 by 21 to get x.

Therefore, x=357

marking brainliest to whoever gives me the write answer

Answers

The page is black. Try reposting please
I would like brainliest please because the answer is a black screen

Find the length of the hypotenuse of the right triangle.
40
048
041
None of the other answers are correct
40
26

Answers

Answer:

Ans. 41

Step-by-step explanation:

By using the formula of pythagoras theorem,

h^2 = p^2+b^2

or, h = sqrt(9^2+40^2)

or, h = sqrt(81+1600)

or, h = sqrt(1681)

or, h = sqrt(41^2)

or, h = 41 #

What are the differences between the graphs of y = 2x and y = 2

Answers

Answer:

Y=2x has a slope of 2, y=2 has a slope of 0

Step-by-step explanation:

The first equation in the system of equations that models this situation is x+y=70, where x represents the number of 2-point questions the number of 4-point questions. What is the other equation in the system? Enter the correct answer in the box. Substitute numerical values in the expression for A, B, and C.

Answers

Answer:

2x+4y=150

Step-by-step explanation:

Top answer is right as it is shown in the picture below!

Question 18 of 25
If f) =3*+ 10 and glx) = 2x- 4, find (f+ 9)().
OA. (f+ )() = 5x +6
OB. (f+ g)() = 3*+ 2x+ 6
OC. (f+ 9)() = 3r- 2x+ 14
O D. (f+ 9)() =-3*- 2x-14
SUBN

Answers

Answer:

C. (f+ 9)() = 3r- 2x+ 14

Step-by-step explanation:

The area of the triangle is

square inches.
fill in the blanks

Answers

Answer:

48sq^2

Step-by-step explanation:

(12*8)/2

96/2

48

nce a year, a store offers a free frozen yogurt to its customers. Each customer can cl he flavor of frozen yogurt and one topping. There are 8 possible ways to order the fro gurt. How many flavors and toppings could the customers choose from? 4 flavors and 3 toppings 2 flavors and 4 toppings 2 flavors and 2 toppings 4 flavors and 4 toppings​

Answers

the answer would be i think they sre able to get 2 flavors

PLEASE HELP ASAP Which of the following expressions is equivalent to the expression 42 + 90?

Answers

Answer:

6(7+15)

Step-by-step explanation:

6×7=42

6×15=90

Write the equation in slope-intercept form for a line which points go through (-2,3), parallel to x=o

Answers

Answer:

x = -2

Step-by-step explanation:

Line x = 0 is parallel to y-axis

Line parallel to given line is also parallel to y-axis. It passes through point (-2, 3), so its equation is:

x = -2

can i get some help

Answers

Answer:x = -0.1290322581

Step-by-step explanation:

Simplifying

9x + -4(1 + 10x) = 0

9x + (1 * -4 + 10x * -4) = 0

9x + (-4 + -40x) = 0

Reorder the terms:

-4 + 9x + -40x = 0

Combine like terms: 9x + -40x = -31x

-4 + -31x = 0

Solving

-4 + -31x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + -31x = 0 + 4

Combine like terms: -4 + 4 = 0

0 + -31x = 0 + 4

-31x = 0 + 4

Combine like terms: 0 + 4 = 4

-31x = 4

Divide each side by '-31'.

x = -0.1290322581

Simplifying

If pens cost 15 cents, how many can you buy with $3.00?

Answers

3.00/0.15 = 20
You can buy 20 pens
you can buy 20 pens. divide 300 (3.00 in cents) by 15 and it results in 20.

HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLP! what x-45 divided by 17 if x=98?

Answers

Answer:

98-45/17=3.11

Step-by-step explanation:

Thanks for the points

In Heavenly Hash ice cream, the ratio of the amount of cashews to the amount of marshmallows to the amount of chocolate ice cream is 1 : 3 : 36 by volume .

What is the ratio of the amount of marshmallows to ice cream?

Answers

Answer:

90%

Step-by-step explanation:

The ice cream is 1 part cashew, 3 parts marshmallow, and 36 parts chocolate ice cream.  That's a total of 40 parts.  So the fraction that is chocolate ice cream is:

36/40 = 0.9

So 90% of Heavenly Hash ice cream is chocolate ice cream.

Pls help I don’t under stand and I’ve been on this question for 2 hours

Answers

Answer:

Lumberrum2 [tex]x^{2} \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi \alpha \frac{x}{y}[/tex]

Step-by-step explanation:

Answer:

x = 20

p = 144

y = 144

Step-by-step explanation:

Vertically opposite angles are equal.

2x - 4 = 96 - 3x

2x + 3x -4 = 96

    5x - 4 = 96

         5x = 96+4

         5x = 100

           x = 100/5

           x = 20

2x - 4 = 2*20 - 4 = 80 - 4

         = 36

p + (2x - 4) = 180  {linear pair}

p + 36 = 180

        p = 180 - 36

        p = 144

y =  p        {vertically opposite angles}

y = 144

PLEASE HELP!!
What is the slope for runner 1 and runner 2 ?

Answers

I don’t about 2 but the slope for 1 is 2

Help me answer b. c. I need help:(

Answers

Answer:I dont knwo the answer

Step-by-step explanation:tell em

Answer:

C

Step-by-step explanation:

I got it right

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