All categories

3 years ago

FAST ANSWER PLEASE THANKS

Mathematics

1 answer:

saveliy_v [14]3 years ago

6 0

Answer:

Option (1).

Step-by-step explanation:

Given functions are f(x) = $\frac{1}{x}$ and g(x) = x - 2

(fog)(x) = f[g(x)]

By substituting g(x) in place of x in the function f(x),

f[g(x)] = $\frac{1}{(x-2)}$

Graph of the function f[g(x)] will have,

Vertical asymptotes : x = 2

Horizontal asymptotes : y = 0

And no oblique asymptotes.

Out of four options graph number (1) matches the given characteristics of the function.

Therefore, graph (1) will be the answer.

You might be interested in

What is the product

djverab [1.8K]

Answer:

The product of given matrix is $AB=\begin{pmatrix}7\\ 4\\ 2\end{pmatrix}$

Step-by-step explanation:

Given : Two matrix

$A=\begin{pmatrix}3&6&1\\ 2&4&0\\ 0&6&2\end{pmatrix}$

and $B=\begin{pmatrix}2\\ \:0\\ \:1\end{pmatrix}$

We have to find the product of given matrix

$AB=\begin{pmatrix}3&6&1\\ 2&4&0\\ 0&6&2\end{pmatrix}\begin{pmatrix}2\\ 0\\ 1\end{pmatrix}$

Multiply the rows of first matrix by the columns of second matrix , we have,

$\begin{pmatrix}3&6&1\end{pmatrix}\begin{pmatrix}2\\ 0\\ 1\end{pmatrix}=3\cdot \:2+6\cdot \:0+1\cdot \:1$

$\begin{pmatrix}2&4&0\end{pmatrix}\begin{pmatrix}2\\ 0\\ 1\end{pmatrix}=2\cdot \:2+4\cdot \:0+0\cdot \:1$

$\begin{pmatrix}0&6&2\end{pmatrix}\begin{pmatrix}2\\ 0\\ 1\end{pmatrix}=0\cdot \:2+6\cdot \:0+2\cdot \:1$

$=\begin{pmatrix}3\cdot \:2+6\cdot \:0+1\cdot \:1\\ 2\cdot \:2+4\cdot \:0+0\cdot \:1\\ 0\cdot \:2+6\cdot \:0+2\cdot \:1\end{pmatrix}$

On , simplifying , we get,

$AB=\begin{pmatrix}7\\ 4\\ 2\end{pmatrix}$

Thus, the product of given matrix is $AB=\begin{pmatrix}7\\ 4\\ 2\end{pmatrix}$

4 0

3 years ago

Read 2 more answers

List these numbers from least to greatest. -10, 20, -30, 15

allochka39001 [22]

Answer: -30, -10, 15, 20

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Neil wants to join three pieces of metal to form a right triangle. which of the following lengths could be used? please use step

vichka [17]

Answer: G. 12.5, 7.5, 10

Step-by-step explanation:

To determine the lengths of metal that could be used to form the tight angle triangle, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

The hypotenuse is the longest side while the opposite and adjacent sides are the shorter side. Therefore,

8² = 4² + 4²

64 = 16 + 16 = 32

A right angle triangle cannot be formed because they are not equal.

12.5² = 7.5² + 10²

156.25 = 56.25 + 100 = 156.25

A right angle triangle can be formed because they are equal.

23² = 11² + 9²

529 = 121 + 81 = 202

A right angle triangle cannot be formed because they are not equal.

96² = 12.5² + 6²

9216 = 156.25 + 36 = 192.25

A right angle triangle cannot be formed because they are not equal.

4 0

3 years ago

Mr. Johnson has 4 daughters. Each of his daughters has a brother. How many children does mr. Johnson have?.

777dan777 [17]

Answer:

Step-by-step explanation:

hope this helps ;)

5 0

2 years ago

(

larisa [96]

Idkidlidjidvgiyc tv xuztixjclotxitsyp

3 0

3 years ago