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
Free_Kalibri [48]
3 years ago
8

What is the domain of f/g, given f(x)=x+8 and g(x)=x-3?

Mathematics
2 answers:
Mademuasel [1]3 years ago
8 0
ANSWER
( -  \infty ,3 ) \cup (3, \infty )


EXPLANATION

The given functions are
f(x) =   x + 8

and

g(x) = x - 3

The function,

\frac{f}{g}  =  \frac{f(x)}{g(x)}


This implies that,

\frac{f}{g}  =  \frac{x + 8}{x - 3}

The domain of this rational function refers to all values of x for which

\frac{f}{g}  =  \frac{x + 8}{x - 3}
is defined.


This function is defined if the denominator
x  - 3\ne0


x \ne3


In interval form, we write this as,

( -  \infty ,3 ) \cup (3, \infty )


The correct answer is C.
abruzzese [7]3 years ago
5 0

Answer: Correct Option is "C"

( - ∞ , 3) U (3, ∞ )


Step-by-step explanation:


The function f/g is defined as

( x + 8) / (x -3)


Domain of the function is the set of values which the independent variable can assume.


Clearly in the above function x cannot assume the value 3, otherwise the function would become undefined.


So domain of the function is

( - ∞ , 3) U (3, ∞ )


Hope it helps.


Thank you.

You might be interested in
A 17-foot ladder is leaning against a building. The base of the ladder is 8 feet
ss7ja [257]

Answer:

Pythagorean theorem:

x^2 = 17^2 - 8^2

x^2 = 225

x = sqrt(225) = 15

The distance is 15 ft

3 0
2 years ago
Read 2 more answers
Does a triangle with side lengths 10, 49.5, and 50.5 form a right triangle ?
IRINA_888 [86]

Answer:

yes

Step-by-step explanation:

Use Pythagorean Theorem:

10² + 49.5² = 50.5² ??

100 + 2450.25 = 2550.25

2550.25 = 2500.25

8 0
2 years ago
Given b=4 and h=1, what is the equation of the graph if the parent function is Y=square root of X?
Anika [276]

Answer:

Given: b = -2

h = 4

Parent function y = root x or y = √x

Using the following equation we can find out the equation of the graph:

Step-by-step explanation:

5 0
3 years ago
Divide using any method. .<br> -3.23 + 4x2 + 2x – 5)<br> 2
stepladder [879]

Answer:

Step-by-step explanation:

-3x^2 --2x--2 -- 9/x--2

3 0
3 years ago
Amiah has 5 pounds of slime for her party bags each bag needs 1/6 of a pound. How many party bags can Amiah make
Fiesta28 [93]

Answer:

30

Step-by-step explanation:

if each bag needs 1/6 and their is 5 pounds then you keep going until you reach 5.

6 0
3 years ago
Other questions:
  • 2. Imagine you have invested $800 into a savings account that earns 3.5% interest
    9·2 answers
  • Lisa is a broker who charges 1.5% per stock transaction fee. A competing online broker charges $24 per trade. If someone is plan
    7·1 answer
  • You toss a coin three times. What is the probability of getting three heads?
    8·2 answers
  • The sum of two number is thirty. Using z to represent the larger number, translate “fifty more than the smaller number” into a v
    12·1 answer
  • What is 0.421 x 5.6 ?
    7·2 answers
  • 45 + 15(n − 1) for n = 6
    11·1 answer
  • Use the Pythagorean Theorem to find the missing length and then round the
    12·1 answer
  • If 3x−y=12, what is the value of <br>8x<br>2y
    10·1 answer
  • Which is a diagonal through the interior of the cube?
    11·2 answers
  • An online store holds a sale.Of the 500 customers who make a purchase during the sale,60 use a coupon.What percent of the custom
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!