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Question: are the following maps ring homorphisme 1 2 3 with...

Question details

Are the following maps ring homorphisme?

1) \phi: \mathbb{Q}[x] \rightarrow \mathbb{Q}[x], \phi(a_0+a_1x+\cdots +a_nx^n)=a_0+a_1x^2+\cdots +a_nx^{2n}

2) \phi: \mathbb{Q}[x] \rightarrow \mathbb{Q}, \phi(a_0+a_1x+\cdots +a_nx^n)=a_0+a_13+\cdots +a_n3^{n}

3) \phi: \mathbb{C} \rightarrow \mathbb{R}, \phi(a+ib)=a with a,b \in \mathbb{R}

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