Which function has an inverse that is also a function?

Mathematics

2 answers:

forsale [732]2 years ago

5 0

Answer:

The answer is C on edge 2020

-{(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)}

Step-by-step explanation:

I just took the Quiz

Schach [20]2 years ago

3 0

A set of ordered pairs, like the ones shown, represents a function only if each of the first coordinates is not repeated.

For example {(2, 5), (7, 8)} is a function, but {(2, 3), (6, 8), (2, -1)} is not because 2 is repeated.

We can check that each set of pairs we are given, are functions.

The inverses of each of these sets would be :

<span>{(–2, –1), (4, 0), (3, 1), (14, 5), (4, 7)} 4 repeats

{(2, -1), (4, 0), (5, 1), (4, 5), (2, 7)} 4 and 2 repeat

{(3, -1), (4, 0), (14, 1), (6, 5), (2, 7)} no repetition of 1st coordinates

{(4, -1), (4, 0), (2, 1), (3, 5), (1, 7)} 4 repeats
</span>

So only the inverse of <span>{(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} is also a function</span>

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Two squares are similar. The

Pepsi [2]

Answer:

The perimeter of the second square is 36 inches

Step-by-step explanation:

Given

Represent the sides of the squares with S1 and S2.

So:

$S_1:S_2 = 1 : 3$ --- Scale factor

$P_1 =12$ --- perimeter of the first

Required

Calculate P2, the perimeter of the second

Represent the ratios of the perimeter:

$Scale = P_1 : P_2$

Substitute 12 for P1

$Scale = 12 : P_2$

Equate both scale factors

$12 : P_2 = 1:3$

Convert to fraction

$\frac{12}{P_2} = \frac{1}{3}$

Cross multiply

$P_2 = 12 * 3$

$P_2 = 36$

6 0

2 years ago

The vertex of this parabola is at (-4,-1).When the y-value is 0,the x-value is 2.What is the coefficient of the squared term in

densk [106]

Answer:

1/36

Step-by-step explanation:

When the coefficient is 1, the function has zeros at -3 and -5, one horizontal unit from the vertex. You want to move the zero to (2, 0), which is 6 units from the vertex. To achieve a horizontal stretch by a factor of 6, the value of x in the function must be replaced by x/6. That would make the coefficient of x^2 be (1/6)^2 = 1/36.

The coefficient of the squared term is 1/36.