Mathematics High School

3. The functions f and g are defined by
[tex] f(x) = \frac{8}{x - 2} + 2 \: for \: x > 2[/tex]

[tex]g(x) = \frac{8}{x - 2} + 2 \: for \: 2 < x < 4[/tex]
(a)(i) State the range of the function f.
(ii) State the range of the function g.
(iii) State the range of the function fg.
(b) Explain why the function gf cannot be formed.​

Answers

Answer 1
i) range is (-infinity,2)
ii) range is (6, infinity)
iii) range is (6,infinity)
b)
Cause the range of f doesn’t match any element of the domain of g

Related Questions

What is the missing length?
20 cm
area = 580 cm

Answers

Answer:

580 / 20 = 29 cm = P

(10+12x)(15x+1) please help me

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180x^2+162x+10


Please mark me brainless

6. Which is a not a true statement about the figures shown below?
this is do soon thx

Answers

A or D they’re the same

Answer:

a and d

Step-by-step explanation:both the same answers hope this helps

What is 15^1/3 in radical form?

Answers

Answer:

the answer is c 3^15

Step-by-step explanation:

Answer:

3√15

Step-by-step explanation:

Edge 2021

4/5x - 3/10 (x +4)
What is the solution to the question?

Answers

Answer:

1/10x(5x-12)

Step-by-step explanation:

4/5x-3/10x(x+4)

factor the expression

1/10x(8x-3x-12)

collect like terms to get 1/10x(5x-12)

please can anyone help? its due in 5 mins

Answers

Answer:

91.08

Step-by-step explanation:

To find diameter, divide the circumference by pi or 3.14

286/3.14 = 91.0828025

Round to nearest hundredth

solve each equation by factoring
[tex]8k^2-26k+20=0[/tex]
please show work!

Answers

Answer:

k=2 or 5/4

Step-by-step explanation:

8k^2-26k+20=0

2(4k²-13k+10)=0

(4k²-13k+10)=0/2

4k²-8k-5k+10=0

4k(k-2)-5(k-2)=0

(k-2)(4k-5)=0

either.

k=2

or

k=5/4

There are 89 students in the sixth grade. Thirty-two percent of the sixth grade students live in Earth . Thirty-six percent of the sixth grade students live in Mars. The remaining students live in Saturn. What fraction of sixth grade students live in Saturn?

Answers

Answer:

32% of the sixth grade students live on Saturn.

(which would be about 29 of them)

Plz hellppp I don’t understanddddd

Answers

H-4=-2
Then you can add 4 to both sides then you get H=2
Yeah that’s right^^ use that as your answer

5d = 75 d =

94 = g + 32 g =

Answers

Answer:

5d = 75 d = 0

i dont know how to do 94 = g + 32 g = sorry

Step-by-step explanation:

-5c-15=-35 all I really want is what -5c equals to and what c equals too

Answers

Answer: c=4

Step-by-step explanation:

Add 15 on each side to get rid of the -15 on the left side.That results in getting: -5c=-20. That would be the answer for what -5c equals.To find what c equals, we must divide by -5 on each side. Thus, c=4.If we plug it in, it works, so we know the answer is correct.

could someone maybe help me with this ?

Answers

Answer:

The scale factor is 3

Step-by-step explanation:

The answer is 3

-6y=-4x+24 use intercepts to graph the line described by each equation

Answers

it’s y intercept is -14 and crosses the x axis at 6

I WILL GIVE 20 POINTS FOR CORRECT ANSWER!​

Answers

Answer:

I believe that the answer is A (3,-2)

Corinna wants to make ⅔ of the recipe. Does she need more or less than 1 ¾ cups of sugar? Explain how you know. How many cups of sugar does she need?

Answers

I think it’s 4 3/8

Chandra had 9 jugs of juice at her party.Eacu jig had 1 gallon of juice in it at the start of the party.

Answers

Answer:

could you explain more clearly for me? if Chandra had 9 jugs, each was one gallon, what's the take away? I need to know for example: each member had 2 cups of juice which would sum up to (insert number) how much juice was left?


What does the discriminant determine?

Answers

It determines if the solution is equal, less than , or more than zero so if it’s equal you only have one solution but if it’s less than so it’s an imaginary graph that doesn’t have solution or more than means it has more than a solution

Write an equation of the line shown in the graph in slope intercept form (y = mx + b). Show
your work for full credit.
(4,6)
(2, 2)

Answers

Answer:

y = 2x - 2

Step-by-step explanation:

Points on graph: (4,6) and (2, 2)

Slope:

m=(y2-y1)/(x2-x1)

m=(2-6)/(2-4)

m=(-4)/(-2)

m = 2

Slope-intercept:

y - y1 = m(x - x1)

y - 6 = 2(x - 4)

y - 6 = 2x - 8

y = 2x - 2

Jordan used 8 centimeters of tape to wrap 2 presents. How much tape will Jordan need in all
if he has to wrap 8 presents? Assume the relationship is directly proportional.
O centimeters
Submit

Answers

Answer:

32

Step-by-step explanation:

8×4=32 since you wrap two presents with 8

On a coordinate plane, point A is 10 units up and 7 units to the right.
What are the coordinates of A?

Answers

Answer:

y=7x-10

Step-by-step explanation:

a would-be a y coordinate

Answer:

Y=7X-10

Step-by-step explanation:

I NEED HELPPP PLSS THIS IS FOR GRADE! I WILL BE GIVING BRAINLIEST + POINTSS!!!!

Answers

Answer:

3 ft by 6 ft

Step-by-step explanation:

The dimensions are 3 ft by 6 ft

The dimensions of the cross section will be the same as the dimensions of one of the rectangles on the outsides, so 3 x 6.

Find the measure of the angles and arcs

Answers

here have a good day

Answer:

multiple both of them and you get your answer

find the value of x please :)

Answers

Answer:

48

Step-by-step explanation:

180-(90+42)

3(4x+6)=x-4

Solve the question and what property did you use?

Answers

Answer:

x = -2

Step-by-step explanation:

A jeweler has several boxes of earrings to ship to a store. Each box is a cube with a side length of 5 centimeters. The jeweler packs the boxes in a shipping container. The filled container has 4 layers, where each layer contains 7 rows and 10 columns of boxes. What is the volume of the shipping container?

Answers

Answer: [tex]35,000\ cm^3[/tex]

Step-by-step explanation:

Given

The earring box has a volume of [tex]a=5\ cm[/tex]

It is packed and loaded in the container which has 4 layers and each layer has  7 rows and 10 columns

We can say that each layer can hold [tex]7\times 10=70\ \text{boxes}[/tex]

The volume of each earring box is

[tex]V_o=a^3=5^3\\V_o=125\ cm^3[/tex]

Four layers can hold [tex]4\times 70=280\ \text{boxes}[/tex]

the container can hold 280 boxes

[tex]\therefore \text{Volume of container is}\ V=280V_o\\\Rightarrow V=280\times 125=35000\ cm^3[/tex]

HELP ME OMG BEFORE I K.MS
If a line containing these points is plotted on a coordinate plane what should the graph look like (brainliest)

Answers

Answer: OPTION 3 i think sorry

and please dont kus

Step-by-step explanation:

The integer −282 could represent which three situations?A) owing $282B) depositing $282C) losing 282 pointsD) growing 282 feetE) diving 282 feet

Answers

A, C, and E
I think that it makes sense

Plz help and show me how to solve these questions

Answers

since -15/16 is a negative number, we can add both sides by 15/16 or subtract both sides by -15/16. Either way works.

p = 1/8 + 15/16

Use common denominator, which is 16:

p = 1(2)/8(2) + 15/16

p = 2/16 + 15/16

p = 17/16

17/16 is an improper fraction. If you want to use a mixed number for your answer, then:

17/16 becomes 1 1/16 (one and one-sixteenth, with 1 being a whole number and 1/16 being a fraction)

Answer: 17/16 or 1 1/16

Suppose a student visited 81 websites while conducting research. If 9 of the websites were "us.gov" websites, what percentage of the websites visited were NOT "us.gov" websites? Round your answer to the nearest whole percent.

Answers

Answer:

9/81 or 1/9 = .1111111111R

Step-by-step explanation:

It is that because that is the decimal and 9 goes into 9 once and 9 goes into 81 nine times

Alex made a rectangular blanket that has an area of 8 square feet the length of his blanket is 8 feet what is the width in feet of his blanket

Answers

Answer:

1ft

Step-by-step explanat

Answer:

5 ft.

Step-by-step explanation:

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