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
frutty [35]
3 years ago
12

Find the inverse of the following function:

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0
First, we are going to find the inverse function of f(x) by replacing f(x) with y, and then, interchanging x and y and solving for x:
y=-2 \sqrt{3x-1} -5
x=-2 \sqrt{3y-1} -5
-2 \sqrt{3y-1} =x+5
\sqrt{3y-1} = \frac{x+5}{-2}
3y-1=( \frac{x+5}{-2} )^{2}
3y=( \frac{x+5}{-2} )^{2} +1
y= \frac{( \frac{x+5}{-2})^{2}+1  }{3}

Next we are going to evaluate our inverse function at x= \frac{1}{3}:
y= \frac{( \frac{ \frac{1}{3}+5 }{-2})^{2}+1  }{3}
y= \frac{( \frac{ \frac{16}{3} }{-2})^{2}+1  }{3}
y= \frac{(- \frac{8}{3})^{2}+1  }{3}
y= \frac{ \frac{64}{9}+1 }{3}
y= \frac{ \frac{73}{9} }{3}
y= \frac{73}{27}

We can conclude that the inverse function of f(x)=-2 \sqrt{3x-1} -5 when x= \frac{1}{3} is \frac{73}{27}

You might be interested in
Mariana knit a total of 20 centimeters of scarf over 2 nights. After 5 nights of knitting, how many centimeters of scarf will Ma
Tema [17]

Answer:50

Step-by-step explanation:

7 0
2 years ago
When the center line is one solid yellow line and one broken yellow line, who may cross the line to pass?
Serjik [45]

Answer:

the side with the yellow broken line

Step-by-step explanation:

Solid yellow line: No passing when solid yellow line is on your side. Double solid lines: No vehicle may pass. Broken yellow line: May pass if movement can be made in safely. Many roads have two or more lanes going in your direction.

3 0
3 years ago
What is the value of 3 3/8+1/2 ÷ 4/5 × 2​
Strike441 [17]

Answer:

ans: 37/ 32

Step-by-step explanation:

(33/8 + 1/2 ) / ( 4/5 ×2)

= { ( 33 + 4) / 8} / ( 8 / 2)

= 37/ (4×8)

= 37 / 32

6 0
3 years ago
A toaster is priced at $27.00. The store is have a 1/3 off sale. What is the new price of the toaster?
pickupchik [31]

Answer:

$18

Step-by-step explanation:

Multiply

27 * 1/3 = 9

Subtract

27 - 9 = 18

Best of Luck!

4 0
3 years ago
Read 2 more answers
An inlet pipe can fill an artificial pond in 70 min. An outlet pipe can empty the same pond in 200 min. With both pipes open, ho
vivado [14]

It takes 107.692 minutes approximately to fill the pond

<em><u>Solution:</u></em>

Given that inlet pipe can fill an artificial pond in 70 min

So the inlet pipe can fill \frac{1}{70} of the pond in 1 min

An outlet pipe can empty the same pond in 200 min

So the outlet pipe can empty \frac{-1}{200} of pond in 1 min

Here negative sign denotes "empties the pond"

To find: With both pipe open, time taken to fill the pond

Let "x" be the time taken by pipes to fill the pond

With both pipes are left on, so together their rate is:

\frac{1}{x} = \frac{1}{70} - \frac{1}{200}

On solving,

\frac{1}{x} = \frac{200 - 70}{14000}\\\\\frac{1}{x} = \frac{130}{14000}\\\\x = \frac{14000}{130} = 107.692

Thus it takes 107.692 minutes approximately to fill the pond

5 0
2 years ago
Other questions:
  • Write verbal phrase to algebraic expression. 4 more than the product of 7 and y
    14·1 answer
  • Karim is ordering video games. Each game costs $39.99, and there is a $4.85 shipping charge per order. How much will it cost him
    11·1 answer
  • Ean: jenny wants to make three pillow cases using fourteen feet of fabric. She plans to use an equal amount of fabric for each p
    13·1 answer
  • I'm confused how do I simplify that??
    9·2 answers
  • -3x 2 x (-4)<br> What is the answer
    15·1 answer
  • Which point is in the solution set of the equation 3x+2y&gt;7
    14·1 answer
  • Help needed right away this is timed
    15·1 answer
  • Divide. Write the quotient in lowest terms, 1 1/3 divided by 1 3/4. Please give a thorough explanation as i need help to figure
    8·1 answer
  • Which of the list shows number below in order from least to greates t? -5.9, -23/4, 5.78, 58%​
    9·1 answer
  • The sum of 3 and c is less than or equal to -23.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!