Recall that √x has a domain of x ≥ 0.
So, f(x) is defined as long as
(x + 1)/(x - 1) ≥ 0
• We have equality when x = -1
• Otherwise (x + 1)/(x - 1) is positive if both x + 1 and x - 1 are positive, or both are negative:
Then the domain of f(x) is
x > 1 or x ≤ -1
On the other hand, g(x) is defined by two individual square root expressions with respective domains of
• x + 1 ≥ 0 ⇒ x ≥ -1
• x - 1 ≥ 0 ⇒ x ≥ 1
but note that g(1) is undefined, so we omit it from the second domain.
Then g(x) is defined so long as both x ≥ -1 *and* x > 1 are satisfied, which means its domain is
x > 1
f(x) and g(x) have different domains, so they are not the same function.
People often have different opinions or views. Which about mama that the author show in this passage from everyday use is that Mama is ordinary and Humble.
This passage depicts mama to be a very strong woman, who lives an ordinary life, humble in nature and still what she the advantages of her body shape and type.
She believes that been big is aa plus to her as this will gives her strength It also helps us to know that she is just as ordinary woman who is capable of completing difficult tasks.
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Which about Mama does the author show in this passage from "Everyday Use?
" In real life I am a large, big–boned woman with rough, man–working hands. In the winter I wear flannel nightgowns to bed and overalls during the day. I can kill and clean a hog as mercilessly as a man. My fat keeps me hot in zero weather."
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According to their system of classification, the Sun is known as a yellow dwarf star. This group of stars are relatively small, containing between 80% and 100% the mass of the Sun. So the Sun is at the higher end of this group.
