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3 years ago

given the following linear function sketch the graph of the function and find the domain and range f(x) =2/7x-2

Mathematics

2 answers:

Semenov [28]3 years ago

7 0

Hope this helps. Domain and range are the same for this question.

otez555 [7]3 years ago

6 0

Answer: Domain of the function= $(-\infty 2/7)\cup(2/7,\infty)$ , Range of the function = $(-\infty,0)\cup (0,\infty)$

Step-by-step explanation:

Since, The given function, $f(x)=\frac{2}{7x-2}$

Which is a rational function.

For finding the domain, denominator ≠ 0

Therefore, 7x-2 ≠ 0 ⇒ 7x ≠ 2 ⇒ x ≠2/7

Thus domain of the function = $(-\infty 2/7)\cup(2/7,\infty)$

since, $y=\frac{2}{7x-2}$

⇒y(7x-2)=2⇒7xy-2y=2⇒ $x=\frac{2+2y}{7y}$

Thus, we know that For finding the range, 7y≠0⇒y≠0

Thus, range of the function = $(-\infty,0)\cup (0,\infty)$

You might be interested in

Root of 9216 in prime factorisation

DaniilM [7]

Answer:

The square root of 9216 is 96

Step-by-step explanation:

Given the number 9216 we have to find the square root of 9216 by Prime factorization method

Prime factors of 9216 are

2*2*2*2*2*2*2*2*2*2*3*3= 9216

Now, make pairs of same factors and choose one factor out of every pair and then take the product.

Hence, the square root of 9216 is 96

5 0

4 years ago

Help please this shouldn't take long to answer I'm just bad at this this stuff (brainliest)

icang [17]

Answer:

5 - 17 - 25 - 42 - 64

Step-by-step explanation:

Given data set:

5, 14, 20, 23, 25, 29, 40, 44, 64

It is already in ascending order.

As per data the 5-number summary is:

Minimum = 5
First quartile = (14 + 20)/2 = 17, the median of the lower half
Median = 25, the middle number as the set comprises of 9 numbers
Third quartile = (40 + 44)/2 = 42, the median of the upper half
Maximum = 64

3 0

3 years ago

Haruka hiked several kilometers in the morning. She hiked only 6 kilometers in the afternoon, which was 25%, percent less than s

Semenov [28]

Answer:

14 km

Step-by-step explanation:

6 km in the afternoon

x km in the morning

6= x- 25%

6= 0.75x

x= 6/0.75

x= 8 km

total 6+8= 14 km

4 0

4 years ago

. A building in the shape of a rectangular prism needs to be painted. Some facts about the building are shown below. The buildin

Softa [21]

Answer:

(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

Step-by-step explanation:

The lateral faces of the building are the 4 sides of the building consisting:

2 rectangles of 120 ft by 80 ft

Area of the two rectangular faces = (2)(120)(80)

And

2 rectangles of 120 ft by 50 ft

Area of the two rectangular faces = (2)(120)(50)

✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)

Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.

Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building

Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)

✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

6 0

2 years ago

Is n÷12=36,n=108 true or false

maksim [4K]

Answer:

False

Step-by-step explanation:

n÷12=36

n=36*12

hence n=432

hope it helps you and give me a brainliest

4 0

2 years ago

Read 2 more answers