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strojnjashka [21]
3 years ago
15

Explain why f(x) =√2+x - √2/x, is not continuous at x = 0. Picture provided below.

Mathematics
2 answers:
lord [1]3 years ago
8 0

Answer:

Choice A is correct. function is not defined at x = 0.

Step-by-step explanation:

We have given function:

f(x) = (√2+x - √2)/x

We have to explain that f(x) is not continuous at x = 0.

The domain is the values of x for which the function is difined.

So, at x=0 function is not defined.

Because x is in the denominator of function so when we put x=0 the function has no value.

f(x) = (√2+x - √2)/x  is not continuous at x = 0.

Choice A is correct.

IrinaK [193]3 years ago
3 0

Answer: A

Step-by-step explanation:

If you put 0 in for x, then you would be dividing by 0. Dividing by 0 is always undefined.

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inn [45]

Step-by-step explanation:

({ \sqrt{x} }^{2})  = 16 \\  \sqrt{x } =  \sqrt{16}   \\  \\ sqrt \: root  \: will \: be \: cancelled \\ so \:  \\ x \: \:  = 16

5 0
2 years ago
To which subset of the real numbers does √2 belong
pishuonlain [190]
It is an irrational number.

As a decimal, it equals 1.414235... This is a nonrepeating and nonterminating decimal, which makes it an irrational number, It also cannot be represented as a ratio of two integers.
4 0
3 years ago
Look at the circle you created that has point C (the midpoint of AB) as its center and passes through point A. What can you say
Mice21 [21]

The inscribed angle on the circumference of the circle subtended by the diameter at the center is a right angle

What can be said about segment AB is; Segment AB is the diameter of circle with midpoint at C

What can be said about angle BDA is; Angle BDA is an inscribed angle of the circle with midpoint at C, subtended by the diameter AB at the center

The measure of angle BDA is 90°

What can be said about angle BEA is; Angle BEA is an inscribed angle of the circle with midpoint at C, subtended by the diameter AB at the center

The measure of angle BEA is 90°

The given diagram shows;

Circle with midpoint <em>C</em>, along AB, and radius AC

The diameter of circle C = AB

Circle with midpoint <em>A</em>, intersecting with circle <em>C</em> at points <em>D</em> and <em>E</em>

Tangents from point B on circle, <em>C</em>, intersect with circle <em>A</em> at points <em>D</em> and <em>E</em>

<em> </em>

Required parameters;

  • What can be said about AB

The segment AB is a line that intersects the circle <em>C</em> at two points and also passes through the the point <em>C</em> which is the center of the circle <em>C</em>

Therefore, the segment AB is the diameter of the circle with center at <em>C</em>

  • What can be said about angle BDA

The angle BDA is the inscribed angle of circle <em>C</em> subtended by the points <em>A</em> and <em>B</em> which specifies the diameter of the circle with midpoint <em>C</em>

Therefore, the angle BDA is subtended by the diameter of the circle at the center

According to circle theorem, we have;

Angle subtended at the center = 2 × The angle subtended at the circumference

The angle subtended at the center by the diameter AB = 180° (Angle on a straight line)

Therefore;

The angle subtended at the center = 180° = 2 × Angle BDA

Angle BDA = 180°/2 = 90°

Angle BDA  = 90°

  • What can be said about angle BEA

Similarly, we have;

The angle subtended at the center = 180° = 2 × Angle BEA

Angle BEA = 180°/2 = 90°

Angle BEA = 90°

Find out more about inscribed angles of a circle here:

brainly.com/question/17021375

7 0
3 years ago
Identify the<br> characteristics<br> of exponential<br> functions.
Masteriza [31]

Answer:

The graph passes through the point (0,1)

The domain is all real numbers.

The range is y>0.

The graph is decreasing.

The graph is asymptotic to the x-axis as x approaches positive infinity.

(These are just some of them by the way)

Step-by-step explanation:

5 0
2 years ago
Why is a rhombus not a rectangle?
alukav5142 [94]

Answer:

A rectangle is a parallelogram with all its interior angles being 90 degrees. A rhombus is a parallelogram with all its sides equal. This means that for a rectangle to be a rhombus, its sides must be equal.



Hope this helps! Please mark brainliest! Have a great day!


Thank you for using Brainly!

4 0
3 years ago
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