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})??