1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
professor190 [17]
3 years ago
10

If f(x) = x^2 -1, what is the equation for f–1(x)?

Mathematics
2 answers:
schepotkina [342]3 years ago
5 0

Answer:

The inverse is ±sqrt(x+1)

Step-by-step explanation:

y = x^2 -1

Exchange x and y

x = y^2 -1

Solve for y

Add 1 for each side

x+1 = y^2-1+1

x+1 = y^2

Take the square root of each side

±sqrt(x+1) = sqrt(y^2)

±sqrt(x+1) = y

The inverse is ±sqrt(x+1)

sweet [91]3 years ago
5 0

Answer:

f^-1(x) = sqrt(x + 1)

Or

f^-1(x) = -sqrt(x + 1)

Step-by-step explanation:

y = x² - 1

x² = y + 1

x = +/- sqrt(y + 1)

Interswitch variables:

f^-1(x) = sqrt(x + 1)

Or

f^-1(x) = -sqrt(x + 1)

Where sqrt: square root

You might be interested in
What is the area of a triangle with vertices at (-2, -1), (4, -1), (6,5)?
Rina8888 [55]
18 square units should be the right answer
8 0
3 years ago
The table shows some
valentinak56 [21]

Answer:

<u>For 1 quart of orange juice:</u>

Calories =  448

Vitamin C =  387.6 mg

Carbohydrates  = 107.56 mg

Step-by-step explanation:

The following information is given about 1 CUP of orange juice:

<h2>Calories</h2><h3>112</h3><h2>Vitamin C</h2><h3>96.9 mg</h3><h2>Carbohydrates</h2><h3>26.89 mg</h3>

Now, we have to estimate the 3 values for 1 quart of orange juice. Remember, 4 cups is 1 quart, so we need to multiply each value by 4 to get the values for 1 quart.

Calories = 112 * 4 = 448

Vitamin C = 96.9 * 4 = 387.6 mg

Carbohydrates = 26.89 * 4 = 107.56 mg

6 0
3 years ago
What is the<br> area of the<br> parallelograrn?<br> 16 in<br> in 2<br> 13 in
Jlenok [28]

Answer:

32 in, assuming 2 is your height, 208 in assuming 13 is your height

Step-by-step explanation:

Area = Base x Height

*You can always use this formula to find the area, but only for parallelograms

8 0
3 years ago
2. Let's pretend I'd give you a penny today, two pennies
gizmo_the_mogwai [7]
Answer:
-f(n+1) = f(n) x 2
-on the 10th day you'd receive $512
-this function works by taking the output of the last input and multiplying it by 2 to find the new output.
-i'd rather take 40 days of this money scheme.

example of use:
f(10) = f(9) x 2
output of f(9) is 256 so f(10) = 256 x 2
7 0
2 years ago
The school band is selling items to raise​ $9,500 for a trip. For each item​ sold, the​ band's profit is a percent of the sellin
Finger [1]

The goal amount of the student groups are given in percentages, which are fractions based on one hundred.

  • <u>The flutist raised more money than the trumpeters</u>
  • <u>The difference in the amounts the student raised is $256.5</u>

Reasons:

The amount the school band is raising for the trip = $9,500

Goal of the flutist = To raise 18% of the total amount

Goal of the trumpeters = 85% of the flutist's goal

Required:

The group that raise more money, given that their goals are met

Solution:

Given that the goal of the trumpeters trumpeters is 85% of the goal of the flutist, <u>the flutist raised more money</u>.

Required:

The difference in the amount raised by the students

Solution:

The amount raised by the flutist = 18% of $9,500 = 0.18 × $9,500 = $1,710

Amount the trumpeters raised = 85% of $1,710 = 0.85 × $1,710 = $1,453.5

The difference in the amount raised = $1,710 - $1,453.5 = <u>$256.5</u>

Learn more about percentages here:

brainly.com/question/1367867

7 0
3 years ago
Other questions:
  • The line with equation −a+3b=0 coincides with the terminal side of an angle θ in standard position and sinθ&lt;0 .
    12·2 answers
  • Can I simplest 48/30
    12·2 answers
  • which of the following answer choices describes all the transformation found in the cubic function f(x)=-(x+2)3-5
    7·1 answer
  • Let A = {1, 2, 3, 4, 5} and B = {2, 4}. What is A ∩ B? (1 point)
    14·1 answer
  • What is the radius of the circle whose equation is x^2 + y^2 = 8
    14·1 answer
  • Help please! i appreciate it
    11·1 answer
  • © Write a Pythagorean triplet<br> whose<br> one member is 50
    9·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%20%5Cfrac%7B7%7D%7B8%7D" id="TexFormula1" title="\sqrt{2} \frac{7}{8}" alt="\sq
    15·1 answer
  • If a car traveled 110.5 miles in two hours, how far did it travel in one hour?
    14·1 answer
  • 3. Which equation is graphed in the figure?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!