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

Find the value or measure. Assume that all segments that appear to be tangent are tangent. Round answers to the nearest tenth, as needed.

Answers

Answer:

23.26

Steps:

AC=√(10²+21²)

AC=√(100+441)

AC=√541

AC≈23.26

Can someone help with this?

Answers

Answer: The answer is D (Mr. Johnson will earn $140 for 12 hours of work

Step-by-step explanation:

So with process of elimination we can safely say that for every hour Mr. Johnson will earn 12$.

So it is true that *A* e(amount earned)= 12h($12 made per hour)

And if *B* Mr. Johnson makes $12 per hour then in 4.5 hours he will make $54

We also know for a fact *C* Mr.Johnson earns $12 per hour

but in 12 hours Mr. Johnson will make $144 not $140 so *D* is incorrect

Graph the inequality and check the solution.
Waseme swam more than 100 laps.

l > 100

A number line going from 0 to 200.

Check all that apply.

A. Draw a closed circle at 100.

B. Draw an open circle at 100.

C. Shade all numbers to the right of 100.

D. Shade all numbers to the left of 100.

E. 150 is shaded, so substitute 150 in for the variable to check the graph of the solution.

F. 50 is shaded, so substitute 50 in for the variable to check the graph of the solution.

Answers

Answer:

bce

on edg

Step-by-step explanation:

PLSS HELPPP DUEE TODAYY Problem #1 Simplify the expression.

Answers

Answer:

Step-by-step explanation:

+/- 7 is the sq root of 49

hope this helps

Which of the following is closest to the distance between P and Q?

Answers

Answer:45.3 ft

Step-by-step explanation: Is your answer.

I need help. Do not post a link to a site!

Find the value of each variable.

Answers

Answer:

the answer is x=45⁰ y=45⁰

may I help you

Can someone plz help me with this !!!

Answers

Answer:

Yes!

Step-by-step explanation:

The y = -17

The x = 18

y = x-35

-17 does equal 18 - 35

Hope that helps!

Step-by-step explanation: no it dosent i dont think

In triangle ABC, angle C is a right angle. Find the value of the trig function.
Find the cos(A) if c= 15, a=9, b= 12

Answers

Answer:

its a

Step-by-step explanation:

Which letter matches the angle?

Answers

Answer:
1: F
2: A, E
3: C
4: D

Why?
Linear angles are = 180 so answer 3 might be also but Im pretty sure it’s not

Answer:

F, Vertical angles.

Step-by-step explanation:

If you need extra visuals, this might help:

"The angles opposite each other when two lines cross. They are always equal.

In this example a° and b° are vertical angles.

"Vertical" refers to the vertex (where they cross), NOT up/down. They are also called vertically opposite angles."

`what is the sooulition to x + 8 = 25

Answers

Answer:

Step-by-step explanation:

Well you have to get x by itself so....

subtract 8 from both sides

25 -8 = 17 there is your answer

Hey there!

x + 8 = 25

SUBTRACT 8 to BOTH SIDES

x + 8 - 8 = 25 - 8

SIMPLIFY IT!

x = 25 - 8

x = 17

Therefore, the answer should be: x = 17

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

If one side of a triangle is 87 and the other side is 52, what is the measurement of the other side?

Answers

Answer:

87+52=139 180-139 = 41

41 is the measurement of the other side

Step-by-step explanation:

Divide. (8x2 – 24x + 15) ÷ (2x – 5)

Answers

Answer:

31-24x/2x-5

Step-by-step explanation:

multiply: (16-24x+15)/(2x-5)

calculate: (31-24x)/(2x-5)

write the division as a fraction: 31-24x/2x-5

what is 11 times 1/5

Answers

Answer:

the answer is 2.2

Step-by-step explanation:

I used a calculator

Answer:

2 1/5 I guess

Step-by-step explanation:

If it's wrong then my phone's stu.pid

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

268.083

Step-by-step explanation:

volume of a sphere = 4/3 times pi times r^3. 4/3(pi)(4^3) = 268.083

Vanessa throws a tennis ball in the air. The function h(t) = -15t2 + 45t + 10 represents the distance in feet, that the ball is from the ground at any time in seconds, t. What is the maximum height of the ball?

Answers

Answer:

43.75feet

Step-by-step explanation:

Given the height of the tennis ball expressed as;

h(t) = -15t^2 + 45t + 10

At maximum height, the velocity of the ball is zero

v = dh/dt

dh/dt = -30t + 45

Since dh/dt = 0, hence;

0 = -30t + 45

30t = 45

t = 45/30

t = 3/2

t = 1.5secs

Substitute t = 1.5 into the expression given

h(1.5) = -15(1.5)^2 + 45(1.5) + 10

h(1.5) = -15(2.25)+67.5+10

h(1.5) = -33.75+77.5

h(1.5) = 43.75feet

Hence the maximum height of the ball is 43.75feet

a living room is 20 feet long, 50 feet wide and 12 feet high. how much paint do you need to cover the walls?
a. 2680ft ^2
b. 3680ft ^2
c. 4680ft ^2
d. 1680ft ^2

Answers

Answer:

Step-by-step explanation:

ryan has some (donuts) he takes 5 away how many donuts does ryan have now.

d - 5 = ?

Answers

Answer:

Step-by-step explanation:

Someone help plz make sure it’s right :)

Answers

Answer:

6 m

Step-by-step explanation:

By Pythagoras Theorem:

[tex]x = \sqrt{ {10}^{2} - {8}^{2} } \\ \\ x = \sqrt{100 - 64} \\ \\ x = \sqrt{36} \\ \\ x = 6 \: m[/tex]

Step-by-step explanation:

10² = 8² + x²

x² = 10² - 8²

x² = 36

x = √36

x = 6

Written in standard form, the equation y = mx + b becomes

Answers

The answer is C because when changing the equation Freon slope form to standard you flip the signs of the variables

The answer would be letter A

I need help question in picture

Answers

Area formula of a circle = πr2

π (8.5)2
Area= 226.98

it's is A= pi x r x 2^

diameter is 17 divide by two is the radius

3.14 x 8.5 x 8.5 is 226.865

hey could somebody help me please :)

Answers

Answer:

Cut them in smaller shapes then find area

Step-by-step explanation:

Find the value or measure. Round answers to the nearest hundredth, as needed.

Answers

Don’t click linkkkkkkkkkkkkk

What is the equation of the line that passes through the point (-6,3) and has a
slope of -1/6?

Answers

Answer:

y = -1/6x + 2

Step-by-step explanation:

Put it in point-slope form:

y - 3 = -1/6(x + 6)

y -3 = -1/6x - 1

y = -1/6x + 2

Help ASAP!
553.168 L = mL

Answers

1mL = 0.001 L
so 553168mL

A store purchased jeans for $15 a pair. The store increased the price of the jeans by 65%. One month later, the jeans were on sale for 15 - off the store price. How much would a customer pay for the jeans on sale? Please help

Answers

Answer:

$21.04

Step-by-step explanation:

Steps to take to derive the answer

Determine the price after the price increase of 65%Determine the price after the 15% off

Price after increase increase (100% + increase in price) x purchase price of the jeans

(100% + 65%) x 15

165% x 15

1.65 x $15 = $24.75

Price after the decrease in price = (100% - percentage decrease in price) x price after the 65% increase in price

(100% - 15%) x $24.75

85% x $24.75

0.85 x $24.75 = $21.04

How do I solve this math problem 2x-3<-7

Answers

Answer:

bobo ka mag isip ka mag sagot ka magisa mo

Hopes this helps:

Answer: x < -2

1. Add 3 to both sides.
2x < -7 + 3

2. Simplify -7 + 3 to -4.
2x < -4

3. Divide both sides by 2.
X < -4/2

4. Simplify 4/2 to 2.
X < -2

There are 12 boys and 13 girls in a class. If the teacher randomly chooses a student's name out of a hat, what is the probability it will be a girl?

◯ 48%
◯ 50%
◯ 52%
◯ 92%

Answers

The probability of selecting a girl is 52%

How to determine the probability?

The given parameters are:

Boy = 12

Girl =13

The probability of selecting a girl is:

P(Girl) = Girl/Total

This gives

P(Girl) = 13/(12 + 13)

Evaluate

P(Girl) = 52%

Hence, the probability it will be a girl is 52%

Answers

Answer:

Step-by-step explanation:

Which statement accurately describes the graph 2y=4x+8?

IM IN A TEST HURRY PLEASE!!

Answers

You didn’t give us the statements, send a picture or something.

The statement which describes the given line the best is required.

The correct statement is an increasing line that passes through [tex](0,4)[/tex]

Equation of lines

The given equation is [tex]2y=4x+8[/tex]

Two points of the line are

[tex]x=0[/tex]

[tex]2y=0+8\\\Rightarrow y=4[/tex]

[tex](0,4)[/tex]

[tex]y=0[/tex]

[tex]0=4x+8\\\Rightarrow x=-2[/tex]

[tex](-2,0)[/tex]

The line passes through points [tex](0,4),(-2,0)[/tex]

The slope intercept form of the line is

[tex]y=\dfrac{4x+8}{2}\\\Rightarrow y=2x+4[/tex]

The slope is [tex]2[/tex]

Since, the slope is positive the line is increasing.

Learn more about equation of lines:

https://brainly.com/question/13763238

help please????????????

Answers

Answer:

1st one is correct ....................

Answer:

x = 8, y = 12

Step-by-step explanation:

Since the triangles are congruent, we know that the parallel sides are equal to each other.

So,

4x - 7 = 3x + 1

4x - 3x = 1 + 7

x = 8

x + y = 20

8 + y =20

y = 20 - 8

y = 12

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