Question

If f(x) = |x| / x; x!= 0 ;then f(x) - f(-x) is equal to ​

Answer 1

Answer:

One-one but not onto

Here, f:[0,∞)→[0,∞) i.e, domain is [0,∞) and codomain is [0,∞)

For one-one

$f(x)= </p><p>1+x</p><p>x</p><p></p><p> </p><p>f </p><p>′</p><p> (x)= </p><p>(1+x) </p><p>2</p><p> </p><p>1$

$>0,∀x∈[0,∞)$

∴f(x) is increasing in this domain. Thus f(x) is one-one in its domain

For onto (we find range)

$f(x)= </p><p>1+x</p><p>x</p><p></p><p> i.e. y= </p><p>1+x</p><p>x</p><p>$

$⇒y+yx=x</p><p>⇒x= </p><p>1−y</p><p>y</p><p>$

$⇒x= </p><p>1−y</p><p>y$

≥0 as x≥0

∴0≤y



=1 and y<1

∴ Range



= Codomain

∴f(x) is one-one but not onto

Answer 2

Step-by-step explanation:

Social media is a good thing or a bad thing? That is the most frequently asked question today. Well, there are always two sides of everything; it depends on your perspective on how you perceive it. The same goes for social media, most people admire it as a revolutionary invention and some seem to take it as a negative impact on the society.

We have complied some of the positive and negative opinions people express for social networks:

Positive Effects:

-Friends and Relations:

Social networks started as a place to connect with your friends in an easy an convenient way. Truly speaking, many of you might have found your old pals from school or college who were out of touch due to one reason or other, well I would say I have and I thank social networks for this. Social networks has provided us the opportunity to connect with people and build better relationships with friends with whom we are unable to meet personally, and let them know about our life and take input about their lives and events happening with them.