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]
2 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]2 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
"in any given year, the most common type of psychological disorder is:"
Art [367]
Mood Disorders is most common
5 0
3 years ago
Five social participation​
iragen [17]

Answer:

Explanation:

Social participation included six types of activities: hobby, friendship, clubs for the elderly, volunteer activities, community events and communication with family members and friends

8 0
2 years ago
Please help me!!!!!!!!!!
goldfiish [28.3K]
A! :) your welcomeee!!
3 0
3 years ago
In middle adulthood, a person is most likely to lose _____. a significant amount of weight nearly an inch in height the ability
jok3333 [9.3K]

In middle adulthood, a person is most likely to lose an inch in height.

This happens because as we grow older, our bone density lessens (in the spinal column) which results to a collapsed vertebra. Another reason that people lose around an inch in height during middle adulthood is because joint cartilage in adults get exhausted.

7 0
3 years ago
Read 2 more answers
Which sociological perspective is most likely to study the personal relationships between stepparents and their stepchildren and
Artist 52 [7]
The sociological perspective that's most likely to focus on this would be the functionalist perspective. 
8 0
3 years ago
Other questions:
  • On the Wechsler Adult Intelligence Scale (WAIS), the _____ score represents subtest scores on verbal tasks, such as vocabulary,
    12·1 answer
  • The demographics, lifestyles, and social values of a society determine the firm's a. economic environment. b. technological envi
    8·1 answer
  • What caused the fertility of the delta plz answer quick!!!
    13·1 answer
  • _____ is the scientific name for modern humans
    5·2 answers
  • Sharing information or news
    13·1 answer
  • Suppose that the original agreement between Amazon and Basis included a detailed schedule of payments to be made by Amazon to Ba
    12·1 answer
  • Islam was initially brought to India by Muslim __
    5·1 answer
  • All the following are checks the executive branch has except:
    6·2 answers
  • How many days are shellfish tags required to be kept on site?
    5·1 answer
  • What phase of research establishes the toxicity of an investigational medication?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!