Question: Let f: { 0 , 1 } ^ n { 0 , 1 } ^ m and g: { 0 , 1 } ^ n

Let f:{0,1}^n{0,1}^m and g:{0,1}^n{0,1}^m be both collision resistant functions. Lets define F:{0,1}^2n{0,1}^2m as F(x_1,x_2)= f(x_1)|| g(x_2).
Would F still be a collision resistant hash function? Would F be a one-way function?

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