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
mart [117]
3 years ago
14

If f(x) = radical2-x and g(x) = x-1 then find the domain of h(x) = f(x)÷g(x).

Social Studies
1 answer:
kolezko [41]3 years ago
8 0

Answer:

Domain → (-∞, 1) ∪ (1, 2]

Explanation:

Given functions are,

f(x) = \sqrt{2-x}

g(x) = (x - 1)

Since, h(x) = \frac{f(x)}{g(x)}

Therefore, h(x) = \frac{\sqrt{2-x}}{(x-1)}

This function is defined for,

(2 - x) ≥ 0 [Since, square root of negative numbers is not defined]

⇒ x ≤ 2

And (x - 1) ≠ 0 [Since, fraction is not defined for denominator = 0]

x ≠ 1

Therefore, domain of the function 'h' will be,

(-∞, 1) ∪ (1, 2]

You might be interested in
Another term for the anish pennsylvania
inysia [295]
Pennsylvania German is another name just like Pennsylvania Dutch
8 0
3 years ago
​Several years ago, Mark was arrested for participating in a crime. Since then, he has been confined to a mental hospital, even
Damm [24]

Answer:

NGRI- not guilty by reason of insanity

8 0
3 years ago
A line graph titled Number of Private Banks in England and
stealth61 [152]

Answer:

<h2><u><em>400</em></u></h2>

<h2><u><em>800</em></u></h2><h2><u><em></em></u></h2>

I hope this answer helps you big time!!

4 0
3 years ago
Read 2 more answers
The average number of years a person is expected to live is known as
Amanda [17]

Answer:

the answer is C

Explanation:

its the expectant amount of time a person is to live

8 0
3 years ago
Austin’s garden is full of small pebbles. In his front yard is a large rock. What is one reason why the small pebbles and the la
galina1969 [7]

Answer:

D. They all have a definite shape

i have a quiz with that question and i got it right

3 0
3 years ago
Other questions:
  • In human relations, imagined risks are ______.
    8·1 answer
  • What is true about the polynomial- 8m^3+11m?
    13·1 answer
  • What were the state governments like after the Revolutionary War? A. They all agreed on representation. B. They had differing id
    13·2 answers
  • I was elected by the people of my country to rule for four-year term of office
    8·2 answers
  • Hello, im sorry to disturb and I know this is not an app to ask this but...if I was online schooled is there a problem that I am
    15·1 answer
  • Which organization is an interest group? A. the House Ways and Means Committee B. the Republican Party C. the Department of Agri
    7·2 answers
  • You bring a package home from the department store and your dog immediately jumps on you to investigate if; your 3-year-old niec
    13·1 answer
  • Based on his dying words, what did Squanto learn from the pilgrims?
    5·1 answer
  • Where did the Founding Fathers learn the ideas of natural rights
    7·1 answer
  • Where was balavadra Kumar died​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!