Problem 398 (difficulty: 2/10)

Are the following functions injective on \(\displaystyle [-1,1]\)?

a) \(\displaystyle \displaystyle f(x)=\frac{x}{x^2+1}\),    b) \(\displaystyle \displaystyle g(x)=\frac{x^{2}}{x^2+1}\).

Solution-->

Give me another random problem!