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Elis [28]
3 years ago
10

Which function has an inverse that is also a function

Mathematics
1 answer:
Lina20 [59]3 years ago
5 0

In order for a function to have an inverse that is also a function there are 2 main requirements:

1. The function should be bijective (ie) the function should be one-one ( each element in codomain has not more than 1 pre image in domain) and onto ( Range should be equal to codomain)

2. The inverse function should be defined by a suitable domain and range

Hope this answer helps you..

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12 plus the product of 2 and some number is equal to the product of 4 and some number minus 8 .
geniusboy [140]

Answer:

The number is 10

Step-by-step explanation:

Let x be the number

product is multiply

12 + (2x) = 4x -8

Subtract 2x from each side

12+2x-2x = 4x-2x-8

12 = 2x-8

Add 8 to each side

12+8 = 2x-8+8

20 = 2x

Divide by 2

20/2 = 2x/2

10 =x

4 0
3 years ago
Read 2 more answers
I don’t really get number 4
Oduvanchick [21]

Answer:

C

Step-by-step explanation:

Since the 7 swim teachers had about the same amount of students, you can divide 137 by 7, which comes out to about 20.

7 0
3 years ago
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Which expression is equivalent to 3(2x + 2) +4x + 3?
Oxana [17]

Answer:

10x + 9

Step-by-step explanation:

3(2x + 2) +4x + 3

=> 6x + 6 + 4x + 3

=> 10x + 9

Therefore, 10x + 9 is the solved equation.

Hoped this helped.

GeniusUser

7 0
2 years ago
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Suppose f(x) = x. Find the graph of f(x+2).
Ostrovityanka [42]
<h2>Hello!</h2>

The answer is:

The fourth graph.

<h2>Why?</h2>

We are given the following equation:

f(x)=x

Then, we need to find the graph of f(x+2) that will be equal to:

f(x+2)=x+2

y=x+2

Now, finding the x-axis interception, making "y" equal to 0, we have:

0=x+2

-2=x

Therefore, the x-axis interception point is located at (-2,0), it matches with the fourth graph.

Now, finding the y-axis interception, making "x" equal to 0, we have:

y=x+2

y=0+2=2

Therefore, the y-axis interception point is located at (0,2), it matches with the fourth graph.

Hence, we have that the graph of f(x+2) is the fourth graph since the second graph function cuts the x-axis at -2 and the y-axis at 2.

Have a nice day!

7 0
3 years ago
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)
Kisachek [45]

Answer:

40π in^2

Step-by-step explanation:

360°/72°=5

so, each of the two shaded regions are 1/5 of the circle.

the formula for finding the area of a circle is πr^2, so:

area for one of the shaded regions:

1/5πr^2

1/5π(10)^2

1/5π100

20π in^2

this means that the area for one of the shaded regions is 20π. however, since there are two of them:

2(20π)=40π

so, the area of the shaded regions is 40πin^2

5 0
3 years ago
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