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irina [24]
3 years ago
8

A relation is given in the table below write out the ordered pairs for the inverse and then determine if the inverse is a functi

on
x y
1 0
2 1
3 0
4 2
5 0

a) (1,0), (2,1), (3,0), (4,2), (5,0) inverse is not a function
b) (0,1), (1,2), (0,3), (2,4), (0,5) inverse is not a function
c) (0,1), (1,2), (2,4) inverse is a function
d) (0,1), (1,2), (0,3), (2,4), (0,5) inverse is a function
Mathematics
2 answers:
kompoz [17]3 years ago
7 0

Answer:

Option b is correct.

{(0,1), (1,2), (0,3), (2,4), (0,5)} inverse is not a function

Step-by-step explanation:

Inverse function states that the set of all ordered pairs obtained by interchanging the first and second elements of each ordered pair  in the original function.

As per the statement:

A relation is given in table:

x    y


1    0


2   1


3   0


4   2


5   0

We an write this as:

{(1,0), (2,1), (3,0), (4,2), (5,0)}

by definition of inverse function;

{(0,1), (1,2), (0,3), (2,4), (0,5)}

A function is a relation in which each input has a unique output value.

Since, this inverse is not a function because the input value of 0 does not have unique output.

<em>⇒</em>{(0,1), (1,2), (0,3), (2,4), (0,5)} inverse is not a function



postnew [5]3 years ago
4 0
B, the inverse is not a function, because to the x-value 0 the inverse relation orders two values: the 1 and the 5 as well.
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HELP!!!!!! I believe its B but I am not sure! :(
n200080 [17]

Answer:

A

Step-by-step explanation:

When solving for x as an exponent, we need to use logarithms in order to undo the operation and rearrange the terms. We use log rules to bring down the exponent and solve. Logarithms are the inverse operations to exponents and vice versa. We have one special kind of logarithm called the natural logarithm whose base is e. We write it as ln. Since our base is e here, we will use the natural logarithm to rearrange and isolate x.

e^{4x-1} =3

We begin by applying the natural logarithm to each side.

ln(e^{4x-1}) =ln(3)

Log rules allow use to rearrange the exponent as multiplication in front of the log.

(4x-1)ln(e) =ln(3)

ln e as an inverse simplifies to 1.

(4x-1)(1)=ln(3)

We now apply the inverse operations for subtraction and multiplication.

4x-1+1=1+ln(3)\\4x=1+ln(3)\\\frac{4x}{4} =\frac{1+ln3}{4} \\x =\frac{1+ln3}{4}

Option A is correct.

5 0
3 years ago
the second longest bridge in the world, the tianjin grand bridge, is 373,000 feet long. Its length is 167,700 feet less than the
Mademuasel [1]
If something is 167,700 feet less than something then the value of the longer object would be the that much more than the length of that shorter object. In this case it would be 373,000 + 167,700 = 540,700 ft.


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4 0
3 years ago
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ad-work [718]
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Also need help on this
Ira Lisetskai [31]
Answer is 0.5
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and same thing for the rest of the equation.
8 0
3 years ago
Read 2 more answers
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