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
miv72 [106K]
2 years ago
9

Let y = 2(x – 5)2 – 6.

Mathematics
1 answer:
Kazeer [188]2 years ago
3 0

The given equation represents a function and inverse of the function exist if x ≥ 6.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

y = 2(x – 5)² – 6

Part A:

Using vertical line test, we can find the whether the graph is a function or not.

After drawing a graph for the given curve, and drawing a vertical line.

The vertical line touches only one point for the one input.

The given equation represents a function.

Part B:

Replace x → y and y → x

x = 2(y – 5)² – 6

2(y – 5)² = x + 6

\rm y^-^1 = \sqrt{\dfrac{x+6}{2}} +5

Plug x = 1 in the y:

y = 26

Plug  \rm y ^-^1 = 1 in inverse of a function:

x = 26

Thus, the given equation represents a function and inverse of the function exist if x ≥ 6.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

You might be interested in
What are the solutions of this quadratic equation?<br> x + 2x=-2
natta225 [31]

Answer:

2x=2

Step-by-step explanation:

easy

5 0
3 years ago
Read 2 more answers
express the numbers eight, fifteen and seventeen in base 2. I have forgotten how to do the base 2 question.
saw5 [17]
The quickest way for converting small numbers like this to binary would probably be to find the closest power of 2, then add/subtract intermediate powers of 2 as needed.

Converting 8 is immediate, since it's already a power of 2:

8=2^3\implies 8_{10}=1000_2

Converting 15 and 17 is also pretty easy if you're familiar with the rules of arithmetic in binary.

15=16-1=2^4-2^0\implies 15_{10}=16_{10}-1_{10}=10000_2-1_2=1111_2

17=16+1=2^4+2^0\implies 17_{10}=10000_2+1_2=10001_2
6 0
3 years ago
Quinian pays $178 every 4 months for his guitar lessons.At this rate,how much will Quinian pay for 3 years of guitar lessons?(1y
Oxana [17]
12 months =2136
2136×3=6408
6 0
3 years ago
Read 2 more answers
Twenty-five more than seven times a number is 46 more than four times the number
Marianna [84]
I think the answer is 3
6 0
3 years ago
Read 2 more answers
College algebra chapter 3
Harman [31]

<u>Equation given</u>:  S = 16t^2

  • S: distance fallen  --> 1279 ft
  • t: time taken for the distance fallen

<u>Solve</u>:

   S = 16t^2\\1279=16t^2\\t^2 = 79.93\\t=8.9

Thus it took <u>8 seconds</u> for the thing to fall from the top

Hope that helps!

5 0
2 years ago
Other questions:
  • Can somebody explain what I have to do to find the value of x?<br> (In the pic)
    11·2 answers
  • Solve -(2x + 4) = 18.
    9·2 answers
  • Which of the following numbers is a composite number that is divisible by 5?
    15·2 answers
  • 89. In a drawing, a jar holds the numbers 1 to 8. If you draw three numbers to form a three-digit number (without replacement),
    11·1 answer
  • One card is drawn at random from a deck of cards. What is the probability that the card
    13·1 answer
  • The system of equations y=-1/5x-6 and y=-2x+3 is shown in the graph below. According to the graph, what is the solution to this
    6·2 answers
  • identify an equation in point slope form for the line perpendicular to the y=-1/2x+11 that passes through (4,-8). a. y+8=1/2(x-4
    7·1 answer
  • Brandon picked 14 of a pound of cherries. That afternoon, Brandon's brother ate 12 of the cherries. How many pounds of cherries
    8·1 answer
  • Solve for x 3(2x+2)-x-2=39
    8·1 answer
  • As the earth rotates, it travels a distance of 80 miles in 5 minutes. At this constant rate, which equation best represents y, t
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!