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
Ainat [17]
2 years ago
10

Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function? The graph of f(x) passes

the vertical line test. f(x) is a one-to-one function. The graph of the inverse of f(x) passes the horizontal line test. f(x) is not a function.

Mathematics
2 answers:
alina1380 [7]2 years ago
7 0

Answer:

f(x) is a one to one function.That maps out one function to another ,and it therefore passes both the vertical and horizontal I ine test



antiseptic1488 [7]2 years ago
7 0

Answer with explanation:

The given linear function is

    f(x)= 2 x -3

y=2 x -3

y+3=2x\\\\x=\frac{y+3}{2}

Replacing , x by y, and y by x, we will get the Inverse of the given function

y=\frac{x+3}{2}

Since ,for every x, there is a unique y, or for every, y there is unique x, therefore it is a function.

We can check this also by using the concept of function, that is the function must be one one and Onto.

To check whether, the linear function is one- one,

If ,f(a)=f(b), then , a=b.

f(a)= 2 a -3

f(b)=2 b -3

2 a -3 = 2 b -3

2 a= 2 b

a=b

So, f(x)=2 x -3, is one -one.

To Check whether it is onto

for, f(x)=y

there must be unique x, for unique y

y=\frac{x+3}{2}

So , f(x) is one one and onto.Which shows that f(x) has an Inverse.

Otherwise , we will use Horizontal line test.

Draw the graph of , f(x)=2 x -3

Horizontal lines does not cut the function, more than once.

or, you can find the inverse of f(x),then check whether it passes Horizontal line test.That is, function , 2 y = x +3, the inverse function Passes Horizontal Line test.

Option C: The graph of the inverse of f(x) passes the horizontal line test.

You might be interested in
While shopping at a clearance sale, Samantha finds a $60.00 dress on sale for 25% off. Samantha also has a 50% off coupon. Which
liq [111]

It seems most likely that ...

... Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction

_____

In the real world, it seems probable that Samantha will be offered the choice of using the coupon <em>or</em> the sale discount. If she chooses tht 50% coupon, her savings will be $30. If she chooses the marked sale discount, her savings will be $15.

The scenario above assumes she gets 50% off the sale price of $45, so saves $15+22.50 = $37.50 off the original price.

6 0
3 years ago
Read 2 more answers
How do you simplify 55/20
nasty-shy [4]
Find the greatest common factor. For this it would be 11/4
3 0
3 years ago
Read 2 more answers
How to solve and answer please.
jek_recluse [69]

Answer:

sin 77°

cos 49°

tan 22°

Step-by-step explanation:

use your calculator with trig functions to find the arcsin, arccos, and arctan

7 0
2 years ago
An artificial soccer pitch is 91 meters long and 43 meters wide. If the cost of the pitch is AED 20 per square meter. What is th
Novosadov [1.4K]

The Cost of installing the artificial soccer pitch is $5360

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal.

The soccer pitch us rectangle in shape. Hence:

Perimeter of soccer pitch = 2(length + width) = 2(91 + 43) = 268 meters

Cost of installing the pitch = $20 per meter * 268 meters = $5360

The Cost of installing the artificial soccer pitch is $5360

Find out more on perimeter at: brainly.com/question/16596982

6 0
2 years ago
What I the slope of each line? Y=1/2 x - 4<br> y= 2x -3
inessss [21]

Answer:

1/2

2

Step-by-step explanation:

y = 1/2x - 4 (the slope for this line is 1/2)

y = 2x - 3 (the slope for this line is 2)

Hope this helps!

4 0
2 years ago
Read 2 more answers
Other questions:
  • 4z + 5 +2z =- 25 please help solve​
    14·1 answer
  • Mary having her living room and bedroom painted. Interior Designs USA charges $60.00 to evaluate the space plus $35.00 per hour
    15·1 answer
  • Distance between -6.5 and -9.1 show work pls
    15·1 answer
  • Question 2
    15·1 answer
  • Name the sets of numbers to which 7/9 belongs
    15·1 answer
  • Solve the given integral equation for LaTeX: y(t)y ( t ). LaTeX: y(t)+9\displaystyle{\int_{0}^{t}e^{9(t-v)}y(v)\, dv}=\sin(3t)y
    12·1 answer
  • An item is 30 dollars and the sale tax rate is 5% how much is the sale tax
    14·2 answers
  • Find the volume of a right circular cone that has a height of 11.9 ft and a base with a radius of 16.3 ft. Round your answer to
    9·1 answer
  • On a map, Sacramento is 8 cm from San Francisco. This represents an actual distance of 91 miles. On the same map, Sacramento is
    7·1 answer
  • Help please I’ll give you brainlyst
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!