1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
RSB [31]
3 years ago
14

What are the coordinates of the hole in the graph of the function f(x) ?

Mathematics
1 answer:
Vinvika [58]3 years ago
6 0
ANSWER

(3, \infty )

EXPLANATION

The given function is

f(x) = \frac{ {x}^{2} - 9}{x - 3}

When we plug in x=3 into this function, we obtain,

f(3) = \frac{0}{0}

This means that the function is discontinuous at x=3.

We need to simplify the function to obtain,

f(x) = \frac{(x - 3)(x + 3)}{(x - 3)}

This implies that,

f(x) = x + 3

The graph this function is a straight line that is continuous everywhere.

To graph

f(x) = \frac{ {x}^{2} - 9}{x - 3}
we draw the graph of

f(x) = x + 3
and leave a hole at x=3.

See diagram in attachment.

Hence the coordinates of hole is

(3, \infty )

You might be interested in
What is the ratio equivalent to 3/10
Dafna1 [17]
Here, 6/20 9/30 etc
6 0
3 years ago
What is the solution to log Subscript 2 Baseline (2 x cubed minus 8) minus 2 log Subscript 2 Baseline x
BARSIC [14]

Answer:

x=2

Step-by-step explanation:

i took the quiz

6 0
3 years ago
Read 2 more answers
The historical walking tour of a town covers a total distance of 5 miles. The map shows that the path of the tour travels 3 inch
kari74 [83]
Since the problem is given all the total walking distance, the first thing we are going to do is find the total distance in the map:
Diastance_{map}=3+4+2+1
Distance_{map}=10
Now that we have the distance in the map, we can establish a ratio between the walking distance and the distance in the map:
\frac{5miles}{10inches} = 0.5 \frac{mile}{inch}

We can conclude that each inch the map represents 0.5 miles of walking distance. 

7 0
3 years ago
Read 2 more answers
What is the value of the 1 in the number 1,546,702?
velikii [3]

Answer:

Millions

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
if there is one store and they are selling 10 pens for 8.99 and they are selling 25 pens for 19.75 witch one is better explian
Nimfa-mama [501]

25 pens is better because if you see the cost of one it will be cheaper

3 0
3 years ago
Other questions:
  • What are the formulas to calculate acceleration A. velocity and time B. displacement and time C. Change in distance and time D.
    15·1 answer
  • The difference of the square of a number and 16 is equal to 6 times that number. Find the negative solution.
    15·1 answer
  • What is the value of i20+-?
    5·1 answer
  • A function is created to represent the costs of living per person in the family. What restrictions would be made to the domain?
    6·1 answer
  • What are two expressions that are equivalent to 6(5j + 2 + j)?<br><br><br><br>​
    9·1 answer
  • Olivia is on a road trip with her family. During a three- hour stretch,they traveled 183 miles.How fast were they driving in mil
    15·1 answer
  • If two is subtracted from four times a certain number, the result is 18. Find the number.
    7·2 answers
  • 5) h(x) = 2x + 4; Find h(-3)
    7·1 answer
  • 3. Ann wants to paste 18 posters on her bedroom wall. She wants to put the same
    7·1 answer
  • If Mrs. Kliesch’s Thrive class has 9 students and 6 of the students are girls, what percent of her class is girls?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!