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
Arlecino [84]
3 years ago
10

What are the discontinuities of the function f(x) = the quantity x squared minus 16 over the quantity 4x minus 24?

Mathematics
2 answers:
ANEK [815]3 years ago
4 0
Dividing x^2 - 16 by 4x - 24  gives the quotient (1/4)x + 3/2

y = (1/4)x + 3/2  would be an asymptote  ( discontinuity)

Another would be a vertical discontinuity  when x =  6  (this would make the denominator 4x-24  = 0.
Ilya [14]3 years ago
3 0

Answer:

x=6 is only the point of discontinuity for the function f(x).      

Step-by-step explanation:

Given a function f(x)=\frac{x^2-16}{4x-24}.

We have to find the discontinuities of the function.

Point of discontinuities are the points at which the function is not defined.

To find the point of discontinuities we have to put the denominator 0 to find the value of x or to find the point of discontinuity.

∴ 4x-24=0

⇒ 4x=24 ⇒ x=6

Ar x=6 the denominator becomes 0 and the function f(x) is not defined.

Hence, x=6 is only the point of discontinuity for the function f(x).

You might be interested in
Find the qoutient 13 divided by 1649 plz for me
kumpel [21]
13/1649= 0.0078835658
7 0
3 years ago
(15 POINTS, will mark as BRAINLIEST) How do you know if a set of information shows a proportional relationship? Select ALL that
Ganezh [65]

C and D. hope this helps

8 0
3 years ago
There are 12,boys and 10 girls in your gym class. If 6 boys joined the class, how many girls would need to join for the ratio to
Savatey [412]
6 girls would need to join for the ratio to be the same
5 0
3 years ago
Read 2 more answers
A 12-foot board rests against a wall. The angle that the board makes with the ground is 60°. How far is the base of the board aw
denis-greek [22]

Answer:

A. cos 60° = ; x = 6 feet

Step-by-step explanation:

apex

7 0
2 years ago
Read 2 more answers
What is the mean of 17 20 17 33 22 23
Ad libitum [116K]

Answer:

22

Step-by-step explanation:

Mean basically just means average. To find the mean, add the numbers together and divide them by the number of numbers.

17 + 20 + 17 + 33 + 22 + 23 = 132

After that, divide by 6 since there are 6 numbers

132 ÷ 6 = 22

-------

Have a good day :)

4 0
2 years ago
Other questions:
  • For the month of June, a music supply company is promoting the launch of its electronic music club by offering new members two o
    12·2 answers
  • What is the measure of ∠UVW? <br><br> ty : )
    11·2 answers
  • Instructions: Find the measurement of the angle indicated in the following parallelogram.
    7·2 answers
  • You are building a rectangular dog pen with the length is twice as long as the width. You have 120 feet of fencing what are the
    15·1 answer
  • Mr. Marvi's Class is fund-raising for a field trip that costs $1254. The school is
    5·2 answers
  • ?? Y’all know what to put
    15·1 answer
  • Solve the equation 66 = 3t+12<br> ASAP PLS PLS ASAP IM FAILING I HAVE A 33%
    12·1 answer
  • If you want to be a millionaire by age 70, and you start saving $50 a month at age 18 (with no previous savings), what expected
    11·1 answer
  • Write an absolute value inequality to represent each situation.
    12·1 answer
  • Find the area of the figure.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!