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horsena [70]
3 years ago
10

PLEASE HELP!!! Which graph shows a function whose inverse is also a function?

Mathematics
2 answers:
RideAnS [48]3 years ago
4 0

Answer:graph 3

Step-by-step explanation:

Vika [28.1K]3 years ago
3 0

Answer:

Graph 3

Step-by-step explanation:

A function is a relation between to sets, Domain and Range, such that for every element in the domain there is one and only one image in the range. This definition implies basically that, given the x's in the domain, any value x on the domain must have only one image. Thus, lets analyze the graphs and identify which has a f^(-1)(x) that fulfills this condition.

In the first we can see that, for example, x=-3 has two images one of about -0.3 and other of about 0.5. We notice that because the curve passes trough x=-3 more than one time. So, this is not a function.

In the second. Again, we can see that there are values of x with two images. More precisely, every x < 1 has to images, one positive and one negative. If you draw a vertical line in every x<1 you can see it will cut the curve twice, while a function only does it once.

In the third we do have a function. Pick f^-1 and try to draw a vertical line in every x, you will see that it only cuts f^1 once, so every x has only one image. This is because we are working with linear functions. Linear functions (with slope different from 0) always have inverse functions in its domain.

Finally, the fourth graph does not has a inverse function. Similar to what happened in graph 2, take every x > 1 and see that those x will have 2 images by tracing a vertical line in every x.

So, only graph 3 has an inverse function.

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The algebraic expression for​ "the quotient of 73 and​ x" is
lyudmila [28]

Answer

it could be 73/x

Step-by-step explanation:

3 0
3 years ago
Find the slope of the given line, if it is defined.
il63 [147K]

Answer:  A. The slope is -\dfrac{4}{3}.

Step-by-step explanation:

The slope of a line helps to specify the direction of the line.

The slope of a line that passes through (a,b) and (c,d) is given by :-

\text{Slope}=\dfrac{d-b}{c-a}

Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-

\text{Slope}=\dfrac{12-0}{-9-0}\\\\\Rightarrow\ \text{Slope}=\dfrac{12}{-9}\\\\\Rightarrow\ \text{Slope}=-\dfrac{4}{3}

Hence, the slope is -\dfrac{4}{3}.

8 0
3 years ago
write the slope - intercept equation of the line that passes through the point (6, "-1)" and has a slope of "-1/3"
TEA [102]

Answer:

y = - \frac{1}{3} x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \frac{1}{3} , then

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - \frac{1}{3} x + 1 ← equation of line

8 0
3 years ago
Find the reciprocal of the number.<br><br> 57
liberstina [14]

Answer:

\frac{1}{57}

Step-by-step explanation:

The reciprocal of a number is 1 / the number,

so the reciprocal of x is \frac{1}{x}.

Hope this helps, let me know if you have any questions! :)

4 0
3 years ago
Read 2 more answers
A farmer harvested some of his pecan crops on Friday and Saturday.what fraction of the pecan crop was harvested in two days
Sloan [31]

Answer:

Hence the 3.28 %or 2/61  of total work will be done .

Step-by-step explanation:

Given:

The pecan crops are harvested for  friday and saturday (2days)

To find :

What fraction these 2 days corresponds to the harvesting days?

Solution;

The  pecan crops are growing in America  in state of Georgia

and consider that in months of October and November  pecan crop becomes mature .

Hence the harvesting period is of 2 months considerably .

The month of October and November days are 31 and 30 .

Hence the Total days  of harvesting are 61 days.

In these days total Pecan crops will be harvested.(100% work in 61 days)

Now the farmer harvest for 2 days only .

Required fraction=2/61

=0.0327869

=3.28%

Depending upon the crop field and planting answer will vary

But 3.28 % of total work will be done in 2 days on harvesting

8 0
3 years ago
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