Proving Same Cardinality of F(\mathbb{Q},\mathbb{R}) and \mathbb{R}

[burak100]

Homework Statement

$F(\mathbb{Q},\mathbb{R})$ is the set of maps from $\mathbb{Q}$ to $\mathbb{R}$. Then show that $F(\mathbb{Q},\mathbb{R})$ and $\mathbb{R}$ have same potency (cardinal number?)..

Homework Equations

The Attempt at a Solution

I am no tsure but I think I need to find bijection map between these sets, but how?

 

[micromass]

What is the cardinal number of $F(\mathbb{Q},\mathbb{R})$??