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
Nana76 [90]
3 years ago
11

Find the inverse of the given function. (pictured below)

Mathematics
1 answer:
zavuch27 [327]3 years ago
4 0

Answer:

4

3

0

Step-by-step explanation:

f(x) = y = -1/2 × sqrt(x+3)

2y = -sqrt(x+3)

4y² = x + 3

x = 4y² - 3

now renaming this, so that the normal symbols and names are used for this function definition, so that the input variable is called "x" :

f-1(x) = 4x² - 3

basically, just by itself, this function would be defined for all possible real values of x.

but because it is the inverse of the original function, which generates only values of y<=0, then for the inverse function that same range applies for its input variable x

x<=0

You might be interested in
What’s the most common Multiple for 3 and 5
Ahat [919]

Answer:

should be 15...

Step-by-step explanation:

8 0
2 years ago
Classify the following expression by degree and term: x2y − 7xy + xyz + x
goldfiish [28.3K]
3rd degree polynomial with 4 terms
4 0
2 years ago
Read 2 more answers
An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted t
LekaFEV [45]

Answer:

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

Step-by-step explanation:

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:

At the null hypothesis, we test if the mean is the same, that is:

H_0: \mu = 59.5

At the alternate hypothesis, we test that it is different, that is:

H_a: \mu \neq 59.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

59.5 is tested at the null hypothesis:

This means that \mu = 59.5

After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.

This means that n = 250, X = 59.2, \sigma = 1.9

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}

z = -2.5

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.

Looking at the z-table, Z = -2.5 has a pvalue of 0.0062

2*0.0062 = 0.0124

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

5 0
3 years ago
3n - 31 = 8 + 7 ( 1 + 7n)
Masja [62]

n =  - 1

<h2><em>hope</em><em> it</em><em> helps</em></h2>

6 0
3 years ago
Help please !! It’s geometry credit recovery
mr Goodwill [35]
Cross multiply? 9x2=18/3= 6

5 0
3 years ago
Other questions:
  • Select true statements. (-10x^(2)+5x+3)/(2x^(2)+4)
    6·2 answers
  • For every 15 campers at a summer camp there is 1 counselor.
    10·1 answer
  • Factor completely.<br> x^2+3x−40
    10·2 answers
  • Which of the following is a linear function?
    15·1 answer
  • In math i kind of need to know if a whole number is greater then a whole number and decimal.Example:7.5 and 7. Witch one is grea
    15·1 answer
  • the perimeter of a field has a perimeter of 270 feet and the length is 35 feet longer than the width. Write and graph the system
    12·1 answer
  • Default dance on em lol
    8·2 answers
  • If x= -1 and y = -21, then xy – 5x =
    8·1 answer
  • Write the number 68,127,000,000,000,000 in scientific notation.
    6·2 answers
  • The distance between major cracks in a highway
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!