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
gavmur [86]
3 years ago
8

SHOW YOUR WORK, PLEASE HELP!!!!!!!!!

Mathematics
1 answer:
Shkiper50 [21]3 years ago
3 0
To find the inverse, we swap the variables y and x, then solve for the new y.

3a. y=\frac{3}{x-1}

Swapping the variables: x=\frac{3}{y-1}
Solving for y: x(y-1)=3 \\ y-1= \frac{3}{x} \\ y=1+\frac{3}{x}
The domain of this inverse is x ≠ 0.
3b. y=x^2-1

Swapping: x = y^2 - 1
Solving for y: y^2 = x + 1 \\ y = \sqrt{x+1}
The domain of this inverse is x ≥ -1.
3c. y=\sqrt[3]{\frac{x-7}{3}}
Swapping: x=\sqrt[3]{\frac{y-7}{3}}
Solving for y: x^3=\frac{y-7}{3} \\ y-7=3x^3 \\ y=3x^3+7
The domain of this inverse is all real numbers.
4a. y=\frac{3}{x-1}, y=1+\frac{3}{x}
y=\frac{3}{(1+\frac{3}{x})-1} \\ y=\frac{3}{(\frac{3}{x})} \\ y=x
y=1+\frac{3}{(\frac{3}{x-1})} \\ y = 1+(x-1) \\ y = x

4c. y=\sqrt[3]{\frac{x-7}{3}}, y=3x^3+7
y=\sqrt[3]{\frac{(3x^3+7)-7}{3}} \\ y=\sqrt[3]{\frac{3x^3}{3}} \\ y=\sqrt[3]{x^3} \\ y=x
y=3(\sqrt[3]{\frac{x-7}{3}})^3+7 \\ y = 3({\frac{x-7}{3}})+7 \\ y = (x-7)+7 \\ y=x



You might be interested in
Multiply.<br> 7.8 x 100<br> 7.83 x 10,000
luda_lava [24]
7.8 x 100 = 780
7.83 x 10,000 = 78,300
6 0
2 years ago
Read 2 more answers
At the movie theatre, child admission is $5.20 and adult admission is $9.70. On Sunday three time as many adult tickets as child
JulsSmile [24]

Answer:

23 child tickets were sold

Step-by-step explanation:

Using the information given, we can set up an equation to solve for the number of child tickets sold.  Since there were three times as many adult tickets as child tickets sold, we can assign the variable 'x' to represent the number of child tickets and '3x' to represent the number of adult tickets.  Since we know the cost of each ticket, as well as the total sales, we can set up the following equation:

5.20x + 9.70(3x) = 788.90

Simplify 5.20x + 29.1x = 788.90

Combine like terms:  34.3x = 788.90

Divide both sides by 34.3:  x = 23 child tickets

3 0
3 years ago
Please help. Simplify:
Shalnov [3]

Answer:

use p h o t o m a t h

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which fraction is NOT equivalent to 0.75? A. 15/20 B. 9/12 C. 6/9 D. 3/4
astraxan [27]
The answer is c, 6/9, because 0.75 equals 3/4 in fraction form, and 6/9 reduces to 2/3.
7 0
3 years ago
Read 2 more answers
How many solutions does the equation below have?
Elina [12.6K]

Answer:

1.one solution is the answer

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Question 4 (1 point)
    13·2 answers
  • How can I graph the inequality equation h &lt; -15
    14·1 answer
  • What is the zero of a function?
    15·1 answer
  • What math sites do you guys use? :/<br>or apps?<br><br>for me I use "Khan Academy"​
    8·2 answers
  • On a snowy winter's eve, two candles are lit at the exact same time. A 18-inch candle and a 21-inch
    8·1 answer
  • Hhhhhheelllp ASAPpppppp
    6·2 answers
  • Find the value of x
    10·2 answers
  • FOR 26 POINTS HELP. In the model of a house, the front-facing gable at the end of the roof forms an isosceles triangle where the
    9·2 answers
  • Can someone please help me
    8·1 answer
  • Solve the system of equations:x + 3y - z = -4 2x - y + 2z = 13 3x - 2y - z = -9
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!