All categories

3 years ago

URGENT 20 POINTS Select each graph that shows a function and its inverse.

Mathematics

2 answers:

Andre45 [30]3 years ago

8 0

Answer: Graph first and fourth.

Step-by-step explanation:

If a function is reflected through line y=x,, we obtained an inverse function of that function.

In first graph,

The function is reflected through line y = x,

Hence, in this graph we obtained inverse functions.

In second graph,

The function is shifted horizontally,

This is why we did not get an inverse function.

In third graph,

The function is reflected through x-axis,

This is why we did not get the inverse of the function.

In fourth graph,

The function is reflected through line y = x,

Hence, in this graph we obtained inverse functions.

kondaur [170]3 years ago

3 0

Graphically, two functions are inverses when either...

1) You can reflect the graph the graph about y = x.

2) The graph is the same if you switch the x and y axes.

Let's look at the graphs from left to right, call them 1, 2, 3, 4.

#1 is a reflection across that diagonal - so this is an inverse pair.

#2 is a reflection across the y - axis - not an inverse pair.

#3 is a reflection across the x - axis - not an inverse pair.

#4 is a reflection across the line y = -x - not an inverse pair as you change the signs while swapping the axes.

Thus graph #1 (the left most) is the inverse pair.

You might be interested in

B) Find the value of 2^-3 x 3^-2

jekas [21]

Answer:

1/72

Step-by-step explanation:

2^-3 = 1/2^3 = 1/8

3^-2 = 1/3^2 = 1/9

1/8 x 1/9 = 1/72

7 0

3 years ago

Read 2 more answers

Which of the following terms can be combined in this expression? -13 - x/5 + 6.2y + 20.5x - 3/8y

dsp73

C. 6.2g can be combined with -3/8y. This is because they both end in ‘y’.

3 0

3 years ago

Read 2 more answers

You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an

ASHA 777 [7]

Answer:

Yes

$P(1 \& 5) = \frac{1}{36}$

$P(5 \& 1) = \frac{1}{36}$

$P(5 \& 1 | 1\& 5 ) = \frac{1}{18}$

Step-by-step explanation:

From the question we are told that

Two fair dice, one green and one red were rolled

Generally the outcomes on the dice independent because the outcome on the first dice is not affected by the second die

Generally the probability of getting a 1 on a dice rolled is $P(1) = \frac{1}{6}$

the probability of getting a 5 on a dice rolled is $P(5) = \frac{1}{6}$

Generally the probability of P(1 on green die and 5 on red die) is mathematically represented as

$P(1 \& 5) = \frac{1}{6} *\frac{1}{6}$

$P(1 \& 5) = \frac{1}{36}$

Generally the probability of P(5 on green die and 1 on red die) is mathematically represented as

$P(5 \& 1) = \frac{1}{6} *\frac{1}{6}$

$P(5 \& 1) = \frac{1}{36}$

Generally the probability of P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) is mathematically represented as

$P(5 \& 1 | 1\& 5 ) = \frac{1}{36} + \frac{1}{36}$

$P(5 \& 1 | 1\& 5 ) = \frac{1}{18}$

8 0

3 years ago

eric has a riddle: " i am thinking of a fraction that is equivalent to 2/5 and the numerator is 18 less than the denominator." w

dezoksy [38]

Answer:

12/30

Step-by-step explanation:

So we know that the denominator-numerator=18

And we also know that it's equal to 4/10 or 2/5.

Soooooooooooooo the most easiest is just to trial and error: 12/30

But I don't really know the more complex formula...

5 0

3 years ago

Fill in the number that makes this sentence true 6x9=(6x5)+(6x)

antiseptic1488 [7]

<span>Fill in the number that makes this sentence true 6x9=(6x5)+(6x) (6x5)</span>

4 0

3 years ago