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

Last month, Amelia and Natalie sold candy to raise money for their debate team. Natalie sold 1/5 as much candy as Amelia did. If Amelia sold 1/2 of a box of candy, how many boxes of candy did Natalie sell? Write your answer as a fraction or as a whole or mixed number.

Answers

i got 1/10 but i’m not sure if it’s correct

A cook is making large fruit salads. He has 51 bananas, 41 pears, 25 peaches, and 56 apples. He needs 4 bananas, 3 pears, 2 peaches, and 5 apples for each salad. How many complete fruit salads can the cook make?

Answers

Answer:

I believe the answer would be 11 fruit salads in total.

Step-by-step explanation:

The cook has enough bananas for 12

Enough peaches for 12

Enough pears for 13

And enough apples for 11

1. x + 2x - 1 = 38
Inverse operation

Answers

Answer:

x=13

Step-by-step explanation:

First, you add the x's together: 2x+x=3x

Now you have:3x-1=38

Add 1 to both sides: 3x=39

1 cancel on the left side of the equation

Divide 3 on both sides: x=39/3

3 cancels on the left side and 39 divided by 3 is 13:

x=13

Hope this helps!

Find the equation of the line parallel to -2x +y = 3, that passes through the point
(-3,-1). Write your answer in slope-intercept form. Do not use spaces in your
answer. Enter any fractions like a/b or -a/b.

Answers

Answer:

y=-2x-9

Step-by-step explanation:

First, convert -2x+y=3 to an expression in slope-intercept form. This will be written as y=-2x+3.

Parallel lines have the same slope.

So, the slope of the new line will also be -2x.

Now, use the given coordinates and put them and the slope into point-slope form.

Point slope: y-y1=m(x-x1)

y+3=-2(x+3)

Finally, distribute -2 to (x+3) and simplify the equation.

y+3=-2x-6

y=-2x-9

what is the f(5) for the function f(x)=3x+6

Answers

Answer:

21

Step-by-step explanation:

[tex]f(x)=3x+6 \\ \\ plug \: x = 5 \\ \\ f(5)=3(5)+6 \\ \\ f(5)=15+6 \\ \\ f(5)=21[/tex]

I think it 21! But I’m not 100%

find the length of the side of a square with a perimeter of 128 meters​

Answers

Answer:

32 Meters

Step-by-step explanation:

A square has 4 equal sides so all you have to do is divide 128 by 4

........................divide

I only have 25 points so good luck fighting

Answers

Answer:

m,jnngjhgchjfc

Step-by-step explanation:

shank youuuuuuuuuuu

Answer:

thank you so much for the points


The perimeter of a rectangle is 50ft. If the length is one more than twice the width,
what is the length, width and area?

Answers

Answer: See explanation

Step-by-step explanation:

Let the width of the rectangle be x

Since the length is one more than twice the width. Therefore, the length will be: = 2x + 1

Perimeter of a rectangle = 2(length + breadth)

50 = 2(2x + 1 + x)

50 = 2(3x + 1)

50 = 6x + 2

6x = 50 - 2

6x = 48

x = 48/6

x= 8

Width = 8ft

Length = 2x + 1 = 2(8) + 1 = 16 + 1 = 17ft

Area = Length × Width = 17 × 8 = 136ft^2

Jason has a piece of wire that is 63.9 inches long. He cuts the wire into 3 equal places. Estimate the length of one piece of wire. Round down your answer to the nearest integer.

Answers

Answer: 21.3

Step-by-step explanation:

63.9 divided by 3 equal pieces is 21.3!

Solve -103 = 6 x + 17

Answers

X=-20 hope it helps

I WILL GIVE YOU BRAINLIEST PLEASE HELP!!!! which statement best describes the functions represented in the table?

Answers

C would be your answer

Answer:

C. Both functions are nonlinear but only function p is exponential.

f 9 liters of water is shared equally between 4 people, how many liters of water does each person get

Answers

Answer: Each person gets 2.25 liters.

Step-by-step explanation:

Given: Total quantity of water = 9 liters

Number of persons = 4

Quantity of water each person get = [tex]\dfrac{\text{Total quantity of water }}{\text{Number of persons }}[/tex]

[tex]=\dfrac{9}{4}\text{ liters}\\\\=2.25\text{ liters}[/tex]

Hence, each person gets 2.25 liters.

The sale price of every item in a store is 85% of its usual price. The usual price of a backpack is $30, what is its sale price? The usual price of a sweatshirt is $18, what is its sale price? The usual price of a soccer ball is $24.80, what is its sale price?

Answers

Answer:

Backpack: $5.50

Sweatshirt: $3.70

Soccer Ball: $3.72

Step-by-step explanation:

To find sale prices, you multiply the original price by the sale percentage. Once you have that answer, you subtract it from the original price.

For this problem, you have to multiply every number by .85 which is the decimal for of 85%.

.85*30=25.50

30-25.50=$5.50

.85*18=15.30

18-15.30=$3.70

.85*24.80=21.08

24.80-21.08=$3.72

Answer: The sale price of the backpack is $4.50. The sale price to a sweatshirt is $2.70  The sale price to the soccer ball is $3.72

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 18 × 85/100

Discount = 18 x 0.85

You save = $15.30

 Final Price = Original Price - Discount

Final Price = 18 - 15.3

Final Price = $2.70

Discount = Original Price x Discount %/100

Discount = 30 × 85/100

Discount = 30 x 0.85

You save = $25.50

Final Price = Original Price - Discount

Final Price = 30 - 25.5

Final Price = $4.50

Discount = Original Price x Discount %/100

Discount = 24.8 × 85/100

Discount = 24.8 x 0.85

You save = $21.08

Final Price = Original Price - Discount

Final Price = 24.8 - 21.08

Final Price = $3.72

PLEASE HELP ASAP!??!?!? THERE IS 4 PAGES

Answers

Answer:

I am sorry but is the last time I can help you!

I wish you all the best!

Calculate the measure of ∠ PMU and ∠ UPM.

m∠ PMU =
m∠ UPM =

Answers

Answer:

you want to find angle PMB to find PMU

180-21-35= 124

so now, you subtract 180-124 to find PMU

180-124= 56

Now, subtract 56 and 62 from 180 to find angle UPM

180-56-62= 62

m< PMU = 56

m<UPM = 62

Step-by-step explanation:

So we know that a triangle adds up to 180 degrees. Take 62+35 and subtract it from 180 to find angle P.

62+35=97

180-97=83

Knowing this you can find the two angles of P. You can subtract this number from 21 to find the unknown angle of P.

83-21=62(angle UPM)

Then do the same steps for finding the M angles

(Left Triangle)

62+62=124

180-124=56

(Right Triangle)

21+35=56

180-56=124

And because M intersects a straight line, the M angles should add up to 180.

56+124=180

Hope This Helps :)

im going to a party after this youre not invited but i still like you :)

Answers

Answer:

xd

xdxddxdxdx

dx

Step-by-step explanation:

1. Use your notes from the Work Backwards to prove activity to fill in the proof below that if the diagonals of a parallelogram are congruent, that
parallelogram must be a rectangle
Given: ABCD is a parallelogram with AB parallel to CD and AD parallel to BC Diagonal AC is congruent to diagonal BD
Prove: ABCD is a rectangle (angles A, B, C and D are right angles),
12
I know 1 is congruent to 2 because it's the same segment. I know _3 is congruent to _14 because it's given. I know
5 is congruent to_6 because _7 is a parallelogram (given) and opposite sides of a parallelogram are congruent
Because_8 is congruent to 9 10 is congruent to _11 and
is congruent to 13 _, by the Side-Side
Side Triangle Congruence Theorem triangles_14
and 15
are congruent. Angle_16_ is congruent to angle
_17_because they are corresponding parts of two congruent triangles Angles 18
and
19 are right angles
because they're congruent and supplementary (because they are adjacent angles in a parallelogram). Congruent supplementary angles
must be right angles. Opposite angles in a parallelogram are congruent, so if angles_20 and 21 are right angles, then
angles 22 and 23
must be, too. I know 24 is a rectangle because angles_25
26
27
and
28 are all right angles, and a quadrilateral with four right angle is a rectangle.

Answers

Answer:

23

Step-by-step explanation:

The answer to this to 24

drag components to describe a sequence of transformations that will show triangle abc is equal to triangle def

Answers

Answer:

Step-by-step explanation:

From the figure attached,

ΔDEF is the image triangle formed by the sequence of transformations of ΔABC.

Step -1

ΔABC is reflected across line BC to get the inverted form of ΔA'B'C' (As shown in the image attached)

Step -2

Further ΔA'B'C' is translated by 4 units to the right to get the image ΔA"B"C".

Step - 3

Further ΔA"B"C" is translated 1 unit down to get the image ΔDEF.

HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!!!!

Answers

The answer would be c

Find the sixth term in the following arithmetic sequence.
1/4 , 1/8 ,0...

Answers

Answer: 3/8

1/4 + 1/8 divided by 2

I’ll mark you brainlist

Answers

Answer:

C=5

Step-by-step explanation:

23+(-3)=20

20=4c

4*5=20

Answer:

c=5

Step-by-step explanation:

WILL MAKE BRAINLEST PLS HELP

Answers

The answer is 1/6 :)

Can someone help me pls

Answers

Answer:

1) rational

2) Irrational

3)rational

4) irrational

5) rational

Step-by-step explanation:

If it has a whole number answer and doesn't have never ending number its rational

(WORTH 20 POINTS) Please help I don't know how to do this

In your own words, what do the terms sales tax and discount mean? Is a 5 percent sales tax a percent of increase or decrease? What about a 15 percent discount?


lol help-

Answers

Answer:

Sales tax is an increase in the price of the item while a discount is the decrease of the price. A 5% sales tax is an increase since your paying an extra 5% of the item price. 15% discount is a decrease since your now only paying 85% of the original price. Hope that helps

Answer: In layman's terms, that means if the original price of something you sell was $100, but you offer a 50% discount, then the taxable price is $50. Sale Price = original price – (% of discount * original price)

Sales Tax = Sales Tax rate * Sale Price.

Sales Tax = 0.05 * $17.21 = $0.8605 = $0.86. How do I add 5% to a number?

Divide the number you wish to add 5% to by 100.

Multiply this new number by 5.

Add the product of the multiplication to your original number.

Enjoy working at 105%!

3+1
X +5
1
1
2-1
What values of x satisfy the above equation?

Answers

If it is to match 3+1 which is 4 the value to satisfy X is -1

The formula for the volume of a cube is V = s³, where s represents the side length of the cube. If a cube has a side length of 4 ½ centimeters, what is the volume of the cube? Write your answer as a fraction and a decimal

Answers

Answer:

91.125 or 729/8

Step-by-step explanation:

take 4.5^3 to get 91.125

Answer:

7

Step-by-step explanation:

(8+r)4
It's simple but I wanna check if my messy self is actually right lol​

Answers

Answer:

the answer to this will be 32+4r if you simplify

Find the 82nd term of the arithmetic sequence -8,9,26...

Answers

Answer:

1,368

Step-by-step explanation:

Answer:

1369

Step-by-step explanation:

Find each amount:



3.8% of 2

Answers

Answer:

0.076

Step-by-step explanation:

The answer is 0.076 because 3.8% of 2 is 0.076

Answer:

0.076

Step-by-step explanation:

convert 3.8% to a decimal. (0.038)

2 x  0.038 = 0.076

0.076 ÷ 2 = 0.038

A store pays $81 for a hockey stick and marks the price up by 5%. What is the amount of the mark-up?

Answers

.05 is equal to 5%
So for every dollar the mark up is .05cents
So if you times $81 by .05 this will give you the mark up because each of the 81$ needs .05 added to it.

So $4.05 Is the mark up

And

The cost would be markup and original added together
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