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

Answers

Answer 1

Answer:

Domain(-∞, 1) ∪ (1, 2]

Explanation:

Given functions are,

f(x) = [tex]\sqrt{2-x}[/tex]

g(x) = (x - 1)

Since, h(x) = [tex]\frac{f(x)}{g(x)}[/tex]

Therefore, h(x) = [tex]\frac{\sqrt{2-x}}{(x-1)}[/tex]

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]


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Native plants are plants original to a region ​

Answers

Answer:

Native plants (also called indigenous plants) are plants that have evolved over thousands of years in a particular region. They have adapted to the geography, hydrology, and climate of that region. Native plants occur in communities, that is, they have evolved together with other plants.

21.) What are the teachings of Confucius? *

Live in harmony with nature and everyone will be happy
Harsh punishments would scare people into not doing bad things
Focus on doing better in your relationships and you won't have time to do bad things

Answers

I believe the first option is correct.
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