f(x) =1+√x-2 and g(x) = 10/x-1 find gf​

Answers

Answer 1

Answer:

[tex]gf(x))= \frac{10}{\sqrt{x-2} }[/tex]

Step-by-step explanation:

Explanation

Given function f(x) = [tex]1 + \sqrt{x-2}[/tex]    and  g(x) = [tex]\frac{10}{x-1}[/tex]

gf(x) = ([tex]g(1 + \sqrt{x-2})[/tex]  )

       [tex]= \frac{10}{1+\sqrt{x-2}-1 }[/tex]

       [tex]= \frac{10}{\sqrt{x-2} }[/tex]

[tex]gf(x))= \frac{10}{\sqrt{x-2} }[/tex]


Related Questions

246000 in scientific notation

Answers

Answer:

2.46 x 10⁵

Step-by-step explanation:

Answer:

i wouldn't know that

Step-by-step explanation:

Student tickets cost $6.25 each at a local movie theater. Which proportion could be used to find the number of student tickets, t, that could be purchased with a $25 gift card? need help now pls

Answers

Answer:a

Step-by-step explanation:all the other ones are not smart

if u think about it

U can’t dived t and I so just do the one that doesn’t do that

Make X the subject of this equation: ax – y +z = b

Answers

Answer:

is this all of the question?

Step-by-step explanation:

What is the average of all multiples of five from 5 to 50 inclusive

Answers

Answer:

add all the multiples together then divide by 10?

275/10 = 27.5

Ben starts walking along a path at 3 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 5 mi/h. How long (in hours) will it be before Amanda catches up to Ben?

Answers

Answer:

2 hours 15 minutes

Step-by-step explanation:

Given that :

Ben's speed = 3 mi/hr

One and half hours after Ben leaves = 1.5 hours

Ben's distance = 3 mi/hr * 1.5 = 4.5 miles

Amanda's speed = 5 mi/hr

Time taken before Amanda catches up:

Let time taken = x

Distance = speed * time

Ben's distance = Amanda's distance

4.5 mi + (3 * x) = 5 * x

4.5 + 3x = 5x

4.5 = 5x - 3x

4.5 = 2x

x = 4.5 / 2

x = 2.25 hours

Time taken = 2.25 * 60 = 135 minutes = 2 hours 15 minutes

It would take Amanda 2.25 hours to catch up with Ben

Speed is the ratio of distance to time. It is given by:

Speed = distance/time

Given that Ben covers a distance d at time t, hence:

3 = d/t

d = 3t

Since Amanda leaves One and a half hours (1.5) after Ben leaves, hence Time = t - 1.5

5 = d/(t - 1.5)

d = 5t - 7.5

Since they catch up, hence:

3t = 5t - 7.5

2t = 7.5

t = 3.75 hours

Time for Amanda = t - 1.5 = 3.75 - 1.5 = 2.25 hours

Hence it would take Amanda 2.25 hours to catch up with Ben.

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What is cos(47)=x/3 solve for x

Answers

x=141 ..............



The equivalent value of {x} is equivalent to 2.046.

What is cosine function?

The cosine function (or cos function) in a triangle is the ratio of the adjacent side to that of the hypotenuse.

Given is the expression as -

cos(47) = x/3

We have the expression as -

cos(47) = x/3

{x} = 3 cos(47)

{x} = 3 x 0.682

{x} = 2.046

Therefore, the equivalent value of {x} is equivalent to 2.046.

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Convert 6 1/2 % into decimal

Answers

Answer:

0.065

Step-by-step explanation:

Answer:

Step-by-step explanation:   since 6 1/2% isn't a whole decimal, you would simply put your answer as 0.065. :)

Which statement about 2(x+4) is true. Possible answers: :2(x+4) is a quotient :2(x+4)is a product of three factors :2(x+4)has 4 terms. :2(x+4) is a product.

Answers

Is a product of three factors

Answer:

three factors

Step-by-step explanation:

Does anyone know the value of x and y?!?!

Answers

Answer:

x=4 and y=2

Step-by-step explanation:

I'm not 100% sure but I substituted different numbers into the equation:

If x=4 and y=2 then 4+2=6 and 3x2=6 so it would be 6=6

Another option is x=7 and y=3 then 7+2=9 and 3x3=9 so it would be 9=9

I'm more confident with x=4 and y=2 because of the small size of the triangle.

I hope this helps! Good luck! :)

X is 4 y is 2 ʕ•ᴥ•ʔʕ•ᴥ•ʔʕ•ᴥ•ʔʕ•ᴥ•ʔʕ•ᴥ•ʔ

Which graph represents a function?

Answers

Answer:

Graph B represents a function.

Step-by-step explanation:

Graph B is a quadratic function. y = x^2

Help me with number 7 (geometry) hint= x is 18 1/3 (show work)

Answers

Answer:

2x-15+10x-25=180

2x-10x=180+15+25

-5x=220

=44

ı hope its true

Step-by-step explanation:

A phone company charges $0.25 for every minute someone goes over the limit. What is the independent and dependent variables

Answers

The independent would be the base amount (0.25 in this case) The dependent would be :
the sum of the minutes x 0.25 or the entire phone bill

Answer:

time over plan is independent and the .25 is the dependent

Step-by-step explanation:

independent variables are changing depending on the dependent variables

A +40 =0. What is the value of A?

Answers

Answer:

-40

Step-by-step explanation:

Answer:

hope you for the answer

Step-by-step explanation:

A+40=0

A=0-40

A=-40#

Jonathan put ice cream in the freezer, and the ice cream remained frozen.

Which of the following best describes this situation?

Based on the data, this is an example of correlation and causation.
Based on the data, this is an example of correlation.
Based on the data, this is an example of causation.
Based on the data, this is not an example of causation or correlation.

Answers

Answer:

C- Based on the data, this is an example of causation

Step-by-step explanation:

This is because by him putting the ice cream into a freezing area, the ice cream remained frozen. Imagine if he put in in a warm area, it would melt. Hope this helps!

The option best describes this situation is C; Based on this data, this is an example of causation.

What is correlation?

Correlation of two pairs of data values tells about the degree of movement that can occur in one of the data values when other data value is increased or decreased respectively.

Also, Causation refers to causing something. When one variable influences another variable.

The ice cream remained frozen caused by the fact that it was put in the freezer by Jonathan.

We can also say that, ice cream remained frozen is the result of the occurrence of the event that it was put in the freezer.

So, The option best describes this situation is C; Based on this data, this is an example of causation.

Learn more about causation here;

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Is the relationship between time and distance an arithmetic sequence?
Explain.

Answers

The total distance a freely falling body covers in time, t, is given by the equation d(t)=1/2 gt', where g is typically constant at ___ m/s. Show, in terms of n, the distance a falling body covers in t=n seconds of movement, c.

The length of a rectangle is 2x + 3. The width of the rectangle is x - 2. Which of the following represents the perimeter of the rectangle?

Answers

Answer:

6x+2

Step-by-step explanation:

The perimeter is the sum of all of the sides. A rectangle has four sides. You multiply each equation by two, and add the two equations together.

To get the perimeter, you have to add all sides. So you’ll have 2x+3+2x+3+x-2+x-2. So assuming I have done the math correctly, the answer should be 6x+2.

A loan of $7,000 was approved for 36 weeks. Total amount (principal and interest) was paid as S 7388 charged with an 8% annual rate of interest. What is the value of t time in years?

Answers

Answer:

.7

Step-by-step explanation:

I'm going to assume that there will just be one final payment at the end. I am also going to discard the fact that the loan was approved for 36 weeks becuase I don't know what to do with that information

I will be using the following formula

[tex]FV=PV(1+i)^n[/tex]

Plugging in the numbers we get

7388=7000(1+.08)^n

We we divide by 7,000 and simplify what we can to get

1.0554=1.08^n

We then write the following log

log(1.0554)/log(1.08)=n

Compute this and get n= .7

A cube has an edge measuring 4 inches what is the surface area of the cube in inches^2

Answers

Answer:

96^2in

Step-by-step explanation:

4x4=16

16x6=96

It took sara mother 6 hours to drive to the university and bring Sarah back home for spring break

Answers

Answer:

6 hours

Step-by-step explanation:

If it took Sara's mother six hours to do that, it took six hours.

A cylinder is 12 feet high and has a diameter of 10 feet. in cubic feet, what is the approximate volume of the cylinder

Answers

Answer:

300π or 942.477796077 cubic feet

Step-by-step explanation:

25π*12=300π

The approximate volume of the given cylinder is 942.48 ft³.

What is the volume of the cylinder?

The volume of the cylinder is the density which signifies the amount of substance it can hold.

Mathematically,

                        V = πr²h

where, r is the radius of the cylinder

and h is the height of the cylinder.

It is given that,

Height h of the cylinder = 12 ft

Diameter d of the cylinder = 10 ft

⇒ Radius r = d/2

r = 10/2

⇒ r = 5 ft

Now, Volume of the cylinder V = πr²h

Putting the values of r and h of given cylinder. We get,

⇒ V = 3.14 × (5 ft)² × 12ft

⇒ V = 3.14 × 25 ft² × 12 ft

⇒ V = 3.14 × 300 ft³

V ≈ 942.48 ft³

The approximate volume of the given cylinder is 942.48 ft³.

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m + 4 = 17

Please help

Answers

Answer: m=13

Step-by-step explanation:

Basically you solve this by finding out what plus 4 equals 17. You can do this by subtracting 4 from 17.

17-4=13

This is how you find the value of m.

Answer:

13!

Step-by-step explanation:

first subtract 4 on both sides!

m+4=17

m+4-4=17-4

simplify/subtract 17-4=13!

(also stop reporting my comment and my answers!)

Which is smallest to largest 5.0, 5.008 or 5.15

Answers

that question makes no sense

what is the denominator for 3/8 ?

Answers

Answer:

Here we will simplify 3/8 to its simplest form and convert it to a mixed number if necessary. In the fraction 3/8, 3 is the numerator and 8 is the denominator.

Step-by-step explanation:

The denominator is (8) plz give me brainliest

A school club sold 143 balloons for $3.50 each. They bought 150 balloons for $1.29 each, plus $8.92 for shipping. How much did they make selling balloons?

Answers

Answer:

OMG, Nickkkkk. It's Nyla from your 3rd block math classs. Lol, I literally looked up this question with no luck of an answer.

Step-by-step explanation:

The school club made $298.08 by selling the balloons.

What is Profit?

Profit is calculated as total revenue less total expenses.

Given that, a school club sold 143 balloons for $3.50 each. They bought 150 balloons for $1.29 each, plus $8.92 for shipping.

Cost of balloons when they brought them = 1.29*150 = $193.5

Total cost = $193.5 + (shipping price) = $193.5 + $8.92

Total cost = $202.42

Cost at which they sold the balloons = 143*$3.50 = $500.5

Therefore, their total profit = $500.5 - $202.42 = $298.08

Hence, The school club made $298.08 by selling the balloons

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9 times what number equals 800?

Answers

Answer:

9 times 800/9 equals 800. (Answer is 800/9)

Step-by-step explanation:

Key skills needed: Equation, Division, Fractions

1) Let's say the number is the variable "x".

2) So this means 9 times x = 800

9x = 800

3) Divide both sides by 9 and you will get x equal to 800/9. If you want this in mixed number form, it is --> 88 8/9

Hope you understood and have a nice day!! :D

88.8888888889

The equation to any of these sorts of questions is the larger number (800) divided by the smaller number (9).

You can check your answer by multiplying the quotient by the smaller number (9). If you get the larger number (800), you were correct, anything else, the equation was done wrong.

Hope this helps, if not, comment below please!!!

A bakery sells 10 donuts for every 2 scones. What is the ratio of donuts to scones​

Answers

Answer:

I think its 20?Im not sure

Answer: 10 to 2, or 10:2

Hope this helps! ^^
pls mark me brainliest if you can.

What is the length of one leg of the triangle?
O 9 cm
O 92 cm
O 18 cm
1872 cm

Answers

Answer:

9 [tex]\sqrt{2}[/tex]

Step-by-step explanation:

To find the answer of this equation, you would use the law of sine

so... (18)/sin(90)= (x)/sin(45)

to find for the length of one side simply isolate for x.

Because sin(90) equals 1, you just have to multiply 18 by sin(45) which equals [tex]\sqrt{2}[/tex]/2

so x= 9[tex]\sqrt{2}[/tex]

I NEED HELP ASAP!!
Select all the correct answers.
You're given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side to construct a
valid triangle?
8 centimeters
6 centimeters
ооооо
4 centimeters
10 centimeters
2 centimeters

Answers

Answer:

8 and 2

Step-by-step explanation:

5+3=8

5-3=2

Tisha babysat for 5 hours and earned $32.50. At the same rate, how much would she earn in 8 hours?

$52.00
$14.50
$40.50
$48.50​

Answers

Answer: The answer is $48.50

Answer: The answer is $52.00.

Step-by-step explanation:

Step 1: Find the Unit Rate

$32.50 divided by 5 = $6.50

Step 2: Find the Price for Babysitting for 8 Hours

$6.50 x 8 (hours) = $52.00

I hope this helps!

A school is arranging a field trip to the zoo. The school spends 688.95 dollars on passes for 42 students and 3 teachers. The school also spends 391.02 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student? how many dollars was spent per students

Answers

Answer:

The total spent on each student was $24.62. That is the pass and lunch

Step-by-step explanation:

$688.95÷45= $15.31 each oass

$391.02÷42=$9.31

15.31+931=$24.62

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