How to prove that f is one-to-one
99827
For what values will f(x) be necessarily one-one?
91947
Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$
64866
Proving a Composition of Functions is Bijective
13852
Assume $f$ is a continuous one-to-one function over an interval. Prove that $f$ is strictly monotone
40486
Number of One-to-One Functions
28399
Showing $f$ is constant
121729
Prove without using graphing calculators that $f: \mathbb R\to \mathbb R,\,f(x)=x+\sin x$ is both one-to-one, onto (bijective) function.
102553
How to show that $f(z) = f(i)$
16092
How to prove that the composition of two surjective functions is surjective
112231
Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
131692
How to show that $f_{0}f_{1}+f_{1}f_{2}+...+f_{2n-1}f_{2n} = f^{2}_{2n}$
47135
Prove if a = b, then f(a) = f(b) for any function f (with natural deduction)
82597
How to find $ f(x)$ if $f(1-f(x))=x$ for all $x$ $\in \mathbb{R}$
49953
Proving that a function from $N\times N$ to $N$ is bijective.
60348
How do I prove $F(a)=F(a^2)?$
104949
How would I prove that this function is affine if $f(x+h)-f(x)=hf'(x)$?
79686
How can I prove these statements?