Determine if the functions are injective – math.stackexchange.com

Determine if the functions are injective – math.stackexchange.com

12:15 No Comments
$$f(x) = \frac{x}{1+x^2}$$ $$g(x) = \frac{x^2}{1+x^2}$$ My answer: $f(x) = f(y)$ $$\implies \frac{x}{1+x^2} = \frac{y}{1+y^2}$$ $$\implies x+xy^2 =y+yx^2$$ $$\implies x=y$$ Hence $f(x)$ is ...

from Hot Questions - Stack Exchange OnStackOverflow
via Blogspot

Share this

Unknown

Artikel Terkait

0 Comment to "Determine if the functions are injective – math.stackexchange.com"

Post a Comment

Subscribe to: Post Comments (Atom)