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Question 1163140: How do i find the inverse function of: f(x)=ln√(e^x - 2)
I started it like this:
f(x)=y <=> y=ln√(e^x-2) <=> e^y = √(e^x-2) <=> e^2y = e^x - 2 <=> e^x = e^2y+2 <=> ???
But I couldn't solve it till the end so i would appreciate any kind of help!
Click here to see answer by Theo(13342)

Question 1163159: For which of the following equations is y a function of x? Explain how you know.
a. 𝑥 + 5𝑦 = 15
b. 𝑥^2+y=100
c. x^2+y^2=100
d. 2 • |𝑥| = y

Click here to see answer by ikleyn(52794)

Question 1163163: The demand for a certain product depends on the price. When the price is £10, £15 and £30, the demand is 3800, 1000, and 2800 units respectively.
(i) Determine the equation for the demand function.
(ii) What quantity will be demanded at a price of £25?
Click here to see answer by ikleyn(52794)

Question 1163164: In triangle ABC the lines BQ and CR are perpendicular to AC and AB respectively. If BPC=100 degrees, then the size of A will be:
A=40 degrees B=80 C=120 D=130 E=160
Click here to see answer by Edwin McCravy(20056)

Question 1163190: The diagram for the question is in the link
https://ibb.co/njDpZNR
a. How do the shapes grow?
b. Can you predict what the 100th case would be?
c. What about the nth case?
Click here to see answer by greenestamps(13200)

Question 1163200: The question is in the link below:
https://ibb.co/qBDkVR
A tagged manatee swims up a river, away from a dock. Meanwhile, the manatee’s tag transmits its distance from the dock. This situation gives rise to a distance function for which the input is the time since the manatee first swam away from the dock and the output is the manatee’s distance from the dock at that time. The graph of this distance function is shown below.
Write a story about the manatee that fits with this graph. Explain how features of the graph fit with your story.
Click here to see answer by ikleyn(52794)

Question 1163195: The question is in the link: https://ibb.co/9gcYdZt
Consider the arithmetic sequence whose first few entries are 2, 5, 8, 11, 14, ... Let Y be the entry in position X.
a. Make a table of your X and Y values:
b. Graph the points in your table:
c.Explain how to derive an equation relating X and Y by describing how characteristics of your equation are related to the graph and to the way the sequence grows.

Click here to see answer by ikleyn(52794)

Question 1163189: Consider the arithmetic sequence whose first few entries are 2,5,8,11,14...
Let Y be the entry in position X
a. Make a table of your X and Y values
X is Position and Y is Entry.
X (Position): 1 2 ..
Y (Entry): blank blank ..
b. Graph the points from your table
c. Explain how to derive an equation realting X and Y by describing how characteristics of your equation are related to the graph and to the way the sequence grows
Click here to see answer by ikleyn(52794)

Question 1163347: f(x) = (ax^2 + a^2(x) - 2)/(x^3 - 3x + 2)
is there a real number of a in which lim x -> 1 f(x) exists? If so what is the value of a and what is the limit?
Click here to see answer by Edwin McCravy(20056)

Question 1163376: Find the value of the constant k for which the equation 2x^2+(k+3)x+2k=0 has equal roots
Click here to see answer by ikleyn(52794)

Question 1163554: Find f(a + 1).
f(x) = x² + 2x + 3
(This may be unfamiliar to me...)
Click here to see answer by josgarithmetic(39618)

Question 1163572: Elaine is in the business of repairing home computers. She charges a base fee of $50 for each visit and $25 per hour for her labor. Her max time spent on a job is 8 hours.
Answer the domain in interval notation.
Click here to see answer by Theo(13342)

Question 1163571: State the domain in interval notation
Elaine is in the business of repairing home computers. She charges a base fee of $50 for each visit and $25 per hour for her labor. Her max time spent on a job is 8 hours.

Click here to see answer by ikleyn(52794)

Question 1163570: State the domain in interval notation for all of the scenarios.
A taxi company charges $2.50 plus $1.10 for each mile driven. You can afford to go 10 miles.

You start a savings account where the initial deposit was $175. You deposit $100 a year for 15 years.
Click here to see answer by solver91311(24713)

Question 1163675: Hanna is measuring the height in inches of her roses over time. Her roses started at 5 inches and increased 0.25 inches per day. She decides to measure the roses for 8 days. What is the domain?
Click here to see answer by Boreal(15235)

Question 1163823: A box contains six discs numbered 1 to 6. Find for each integer k from 3 to
11, the probability that the number on two discs have a sum equal to k.

Click here to see answer by Edwin McCravy(20056)

Question 1163830: How do i find the inverse function of:
f(x) = x^2 - 2x, x>1

I went as far as saying that x^2 - 2x = y but now i have no idea how to solve it:( any kind of help is appreciated!
Click here to see answer by Edwin McCravy(20056)

Question 1163956: Find the equation of the linear function that contains the points (1, 4) and (3, −2).
Click here to see answer by solver91311(24713)

Question 1163956: Find the equation of the linear function that contains the points (1, 4) and (3, −2).
Click here to see answer by greenestamps(13200)

Question 1163956: Find the equation of the linear function that contains the points (1, 4) and (3, −2).
Click here to see answer by Alan3354(69443)

Question 1163957: Given g(x) = 2x^2 − 5x + 1
,find g(−1)
Click here to see answer by solver91311(24713)

Question 1164128: find the vertex and axis of symmerty of the graph of w(x)=-3x^2-30x+31
Click here to see answer by solver91311(24713)

Question 1164108: using f(x)=3x-1 and g(x)=1-x^2
solve 1.
f(g(0)): g(0) is 1-0^2 = 1
Plugging the 1 in f(x) you get f(1)= 3x1 - 1 = 2
So f(g(0))= 2
Solve 2:
Similarly f(2)= 3x2 -1 = 5
And plugging that value 5 in g(5) you get 1- 5^2 = -24
1.f(g(0))
2.g(f(2))

Click here to see answer by muthbab@gmail.com(5)

Question 1164145: f(x)=(sqrt3x+2)-1
Click here to see answer by ikleyn(52794)

Question 1164225: Evaluate f'(x)=for f(x)=x^2-2x at x=3

Click here to see answer by Theo(13342)

Question 1164225: Evaluate f'(x)=for f(x)=x^2-2x at x=3

Click here to see answer by Alan3354(69443)

Question 1164265: which set of ordered pairs dose not represent a function?
{(-6,-9),(-2,-3),(-9,2),(2,-3)}
{(-2,0),(-5,8),(7,9),(6,8)}
{(6,9),(-7,8),(1,-4),(8,8)}
{(-2,-6),(-1,2),(-2,-7),(6,6)}
Click here to see answer by ikleyn(52794)

Question 1164080: The supply and demand functions for a product are 𝑞𝑠 = 𝑝2 − 300 𝑎𝑛𝑑 𝑞𝑑 = 𝑝2 − 30𝑝 + 2200 . Determine the market equilibrium price and quantity..
Click here to see answer by ikleyn(52794)

Question 1164391: The functions $f$ and $g$ are defined as follows:
\[f(x) = \sqrt{\dfrac{x+1}{x-1}}\quad\text{and}\quad g(x) = \dfrac{\sqrt{x+1}}{\sqrt{x-1}}.\]Explain why the functions $f$ and $g$ are not the same function.

Click here to see answer by ikleyn(52794)

Question 1164402: The function f satisfies
f(sqrt(x+1))=1/x
For all x >= -1, x does not equal 0. Find f(2).
Click here to see answer by ikleyn(52794)

Question 1164404: Let
f(x) = 3x-7/x+1
Find the domain of f. Give your answer as an interval.
Click here to see answer by josgarithmetic(39618)

Question 1164405: The functions f and g are defined as follows:
f(x) = sqrt(x+1/x-1) and g(x) = sqrt(x+1)/sqrt(x-1).
Explain why functions f and g are not the same function.
Click here to see answer by ikleyn(52794)

Question 1164469: Let
f(x)= (3x-7/x+1).
Find the domain of f. Give your answer as an interval.
Click here to see answer by josgarithmetic(39618)

Question 1164470: The functions f and g are defined as follows:
f(x) = sqrt(x+1/x-1) g(x) = sqrt(x+1)/sqrt(x-1).
Explain why the functions f and g are not the same function. Please explain in detail!

Click here to see answer by ikleyn(52794)

Question 1164468: taxi fare depends on the distance covered during the trip a flagdown fare of 40 for the first 5kms increases by 8 per kilometer thereafter represent the amount a paid by a customer if the taxi covered x kilometer in a trip
Click here to see answer by Theo(13342)

Question 1164561: What is the domain and range of a graph with these two equations?
f(x)=1 {x < 0}
f(x)=(x-2)^2-3 {0 < x < 4}
Click here to see answer by Boreal(15235)

Question 1164427: A videoke machine can be rented for 1000 pesos for 3 days, but for the 4th day onwards, an additional cost of 400 pesos per day is added. Represent the cost of renting a video machine as a piecewise function of the number of days (d) it is rented.

Click here to see answer by Theo(13342)

Question 1164603: Given f(x)= 2/x - 4 and g(x)= determine:
a) f(x+h)−f(x) / h
(b)g(2−h)
Click here to see answer by Alan3354(69443)

Question 1164657: Given (a) x (b) = a^2 + 2ab + b^2, what is the value of (a) x (b) when a = 3 and b = 5?
Click here to see answer by ikleyn(52794)

Question 1164840: g(n)= nsquared + 2n
h(n)= -3n+2
find (gh)(n).
Click here to see answer by solver91311(24713)

Question 1164866: Explain the steps you would take to solve the problem.
7 + x/5 = -4

Click here to see answer by Theo(13342)

Question 1165120: F(x) = -5x + 11 and f(n) = 21, what is the
value of n?
Click here to see answer by Boreal(15235)

Question 1165160: If t(x) = 3-g(x) and g(x) = \sqrt{x}, then what is t(g(16))?
Click here to see answer by ikleyn(52794)

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