if f(x)=1/x+2 what is f(3+h)?

Answers

Answer 1

If x is the only thing in the denominator, then,

[tex]f(x) = \frac{1}{x}+2\\\\f(3+h) = \frac{1}{3+h}+2\\\\f(3+h) = \frac{1}{3+h}+2\left(\frac{3+h}{3+h}\right)\\\\f(3+h) = \frac{1+2(3+h)}{3+h}\\\\f(3+h) = \frac{1+6+2h}{3+h}\\\\f(3+h) = \frac{7+2h}{3+h}\\\\[/tex]

We replace every copy of x with 3+h, as shown in the second step. Afterwards, we can optionally simplify to form one big fraction.

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Or if the "x+2" is in the denominator, then we have these steps:

[tex]f(x) = \frac{1}{x+2}\\\\f(3+h) = \frac{1}{3+h+2}\\\\f(3+h) = \frac{1}{h+5}\\\\[/tex]


Related Questions

The volume of this rectangular prism is 80 cm (small number 3) Use the volume formula to determine the height of this prism.​

Answers

Answer:

Finding the volume of a rectangular prism is a straightforward task - all you need to do is to multiply the length, width, and height together: Rectangular prism volume = length * width * height. Where can you use this formula in real life? Let's imagine three possible scenarios: You bought a fish tank for your golden fish . It's in a regular box shape, nothing fancy, like a corner bow-front aquarium. If …

Step-by-step explanation:

Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 80 meters × 60 meters. How much shorter is the route across the park than the route around its edges?

Answers

Answer:

40meters

Step-by-step explanation:

rectangular park has 90 degree at vertex.so

in that right angled triangle

we have,

length=base=80meters

breadth=perpendicular=60

diagonal=hypotenuse=?

now,

h^2=p^2+b^2

h=square root under 80^2+60^2

h=square root under 6400+3600

h=square root under 10000

h=100

Again,

around root =80+60=140

daigonal=100.

so

the route is 140-100=40meters shorter

How can you turn decimals into percentages

Answers

Step-by-step explanation:

Example given 0.987.

0.987 = 987/1000

now, to convert the decimal in percentage.

(987/1000 ×100)% = 98.7%.

hope this helps you.

14. They are symbols that denote silence and give the performer time to relax. * O a. notes O b.rests O c. time signatures​

Answers

Answer:

b.rests

Step-by-step explanation:

HOPE IT'S HELP

#PHILIPPINES

y=mx+b
y=2/5x + b
b=?

Answers

Answer:

y=b+2x/5 in slope- intercept form.

Step-by-step explanation:

Hope this helps :)

Write a conditional statement that represents the Euler Diagram.
If a plant is a _________ , then the plant is a _________.

Answers

Answer:

if a plant is a carrot , then the plant is a vegetable

Step-by-step explanation:

it just a grammar you should think

What is its inverse? F= {5,-1),(4,8),(6,8),(4,9)

Answers

Answer:

Hence, f −1 (x) = x/3 + 2/3 is the correct answer.

Step-by-step explanation:

Verify (f ∘ f−1) (x) = x

(f ∘ f−1) (x) = f [f −1 (x)]

= f (x/3 + 2/3)

⟹ 3(x/3 + 2/3) – 2

⟹ x + 2 – 2

= x

Hence, f −1 (x) = x/3 + 2/3 is the correct answer.

Step-by-step explanation:

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

=8-(-1) /4-5

=8+1/-1

=9/-1

=-9

y-y1=m(x-x1)

y-(-1)=-9(x-5)

y+1=-9x+45

y=9x+45-1

y=9x+44(rule)

Inverse>y+44=9x

y+44/9=9x/9

x=y+44/9

Therefore inverse is y=x+44/9

jonshelle is developing a new bread recipe. the relationship between cups of water,w, and cups of flour,f, is w= 3/5f. what is the scale to water to flour

Answers

Answer:

3:5

Step-by-step explanation:

ratio!

Mrs. Kelly got a box of 16 colored pencils. She opened it, and 8 fell on the floor. How many colored pencils stayed in the box?
Write a subtraction sentence that fits the story (for example, 3 - 2 = 1).

Answers

16-8=8

Step-by-step explanation:

16 - 8 = x
That what be the suitable answer, x standing for the pencils that stayed in the box

The selling price of an item is 720 it is marked down 30% but the sale price is still marked up from the cost of 420 find the mark up from the cost of the sale price

Answers

Answer:

$84

Step-by-step explanation:

720x30=21600

21600/100=216

216=markdown (as a number instead of a percentage)

Now subtract that like this

720-216=504

504= sale price

Then do this

504-420=84

Therefore it is $84

Hope you understand!

Solve for x:
-15 = x/-0.5
x =

/ = fraction symbol

Answers

Answer:

7.5

Step-by-step explanation:

You first have to switch the sides of the numbers. After you do that you multiply both sides by -0.5. Finally, you simplify and get 7.5

Brainliest pls?

Answer:

7.5

Step-by-step explanation:

You can multiply both sides by -0.5.

-15×-0.5=7.5

x=7.5

Hope that helps! :)

A scientist tracks wolf populations in two parks. One population consists of 20 wolves and is increasing by an average of 2 per year. The other consists of 15 wolves and is increasing by an average of 3 per year. Write an equation that can be used to determine how many years, y, it will take for the two populations to be equal.

Answers

Answer:

it will take 5 years for them to be equal

Step-by-step explanation:

1st year they will be 22-18

2nd year they will be 24-21

3rd year they will be 26-24

4th year they will be 28-27

Finally the 5th year they will be 30-30

Find the value for x
15 points for you plus brainliest, 5 star and thanks on answer and profile

Answers

Answer:

117 units

Step-by-step explanation:

Find the equation of the line perpendicular to the given line and passing through the given point.

y = -4x + 2;(-1,4)

Answers

Step-by-step explanation:

hope it helps you.......

Here is your answer refer to the attachment .

I will give you brainliest

Which equation represents the sentence?

The sum of 10 and a number is 3 times the number.


10 + n = 3n


10 + n = 3 + n


10 + 3n = n


10(n + 3) = n

Answers

Answer:

the first one

10+n = 3n

Step-by-step explanation:

n is the number

and 3n means 3*n

Answer:  the answer the first one 10+n=3n

Step-by-step explanation:

n is the number

and 3n means 3*n

Please help ‐19 ‐ 7( ‐17z + 13)

Answers

Answer:  119z −  110

Step-by-step explanation:

Answer:

-110+119z

Step by step explanation:

-19-7(-17z+13)

-19+119z-91

-110+119z

An infant drinks about 30 ounces of milk per day. About how many quarts of milk does the baby drink in 4 weeks

Answers

Answer:

840 Ounces

Step-by-step explanation:

4 weeks has 28 days. { 4 * 7 = 28 }

because an infant eats about 30 ounces of milk per day.

So 30 * 28 = 840 ounces

The baby drank about 840 ounces in 4 weeks.

The number of quarts of milk drank by baby in 4 weeks is 26.25 quarts.

Given that, an infant drinks about 30 ounces of milk per day.

What is metric conversion?

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Here, number of days in 4 weeks = 4×7

= 28 days

Number of ounces of milk drank by infant

= 28×30

= 840 ounces

We know that, 32 ounces = 1 quarts

So, 840 ounces = 840/32

= 26.25 quarts

Therefore, the number of quarts of milk drank by baby in 4 weeks is 26.25 quarts.

To learn more about the metric conversion visit:

brainly.com/question/21244256.

#SPJ2

Greg builds a pond which is volume 7.35m. it is 4.2m long.What is the width of the pond?

Answers

Answer:1.75m

Step-by-step explanation:

Last year the French club raised $300 at their fall fundraiser. This year they raised $450. What is the percent increase in the amount raised?

(IN YOUR OWN WORD'S)

Answers

Answer:

50%

Step-by-step explanation:

Actual increase = $150

% increase = (actual change ÷ start value) × 100

                   = (150 ÷ 300) × 100

                    = 0.5 × 100

                    = 50%

please help please help

Answers

Answer:

C.) =

Step-by-step explanation:

the absolute value of 5 is 5, and the absolute value of -5 is 5, so they will be equal

Answer:

=

Step-by-step explanation:

The absolute value of a number is how far the number is from zero on a number line.

Both 5 and -5 are 5 units from zero on a number line, so

|5| = |-5| since |5| = 5 and |-5| = 5.

Bianca deposits $3,000 in a savings account earning 4.25% simple interest per year. Part A How much interest will Bianca earn for a period of 3 years?

Answers

Answer:

$382.5

Step-by-step explanation:

First get the 4.25% of $3000. then multiply it by 3-representing 3 years.

hope it can help you lovelots

There are only 9 counters in a bag. There are 2 red counters 3 green counters 4 blue counters Lethna takes at random a counter from the bag. (a) Write down the probability that she takes
(i) a blue counter,

A white counter ​

Answers

Blue counter-4/9
White counter -0

Which answer choice correctly identify the missing information in the problem?

is 23 years old and just graduated from college. He accepted a job as the manager of a amusement park. His major decision was to offer family memberships to the public for $200 a year. The single admission to the amusement park is $25 per family each visit. How many shows can a family see if they have a limited budget?

A) there is no missing information; to find the answer you divided 200 by 25

B) you need to know how many people are in the family

C) you need to know how many times the family will go to the amusement park

D) you need to know the amount of the family budget to solve the problem

Answers

Answer:The  missing information to answer the question: "How many shows can a family see if they have a limited budget?" is the amount of the family budget.

Let's suppose that we know that information and one family has $100. If each visit costs $25 dollars, the family can see:

100/25 =4 shows

So if we do not have this info, we are not going to be able to solve the problem. The correct answer is the letter D!

Step-by-step explanation:

seven million five hundred and forty-two eight hundred in number form pls

Answers

Answer:

7,542,800

Step-by-step explanation:

Kayla wants to create a right triangle with side lengths 16 millimeters, 30 millimeters, and 34 millimeters. Is this possible? Why or why not?
A- no, because 16+30 is not equal to 34
B- no, because 16 squared + 30 squared is not equal to 34 squared
C- yes, because 16 squared +30 squared is equal to 34 squared
D- yes, because 16+30 is greater than 34

Answers

Answer:

C

Step-by-step explanation:

16² = 256

30² = 900

256 + 900 = 1156

34² = 1156

Answer: C

Answer:

B: No, because 16 squared plus 30 squared is not equal to 34 squared

Step-by-step explanation:

So if she wants to make a right triangle that would look like this

           | \

           |     \

30mm |         \ 34mm

           |            \

           |_______\

              16mm

Which would make the Pythagorean theorem look like this

16^2 + 30^2 = 34^2

265 + 900 = 1156

1165 = 1156

So you answer would be B

How do I do this? geometry

Answers

Answer:

B. b = mt/v

Step-by-step explanation:

b/t = m/v

bv = tm

b = tm/v

Multiply as indicated. Write the product in standard form.
(2+i)^2

Answers

Answer:

3 + 4i

Step-by-step explanation:

The Perimeter of a triangle is 24cm and the length of the three sides are in the ratio 3:4:5 Find the length of the three sides​

Answers

Answer:

6, 8, and 10 cm

Step-by-step explanation:

3+4+5=12

24/12=2

2*3=6

2*4=8

2*5=10

i need answers thank you

Answers

Answer:

A

Step-by-step explanation:

how many morerock cds than classical cds were sold

Answers

25 because im like that and smart
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