Chapter 128： Katz, Katz, this is the voice of Xueba (2/2)

The former can fill the stomach, the latter can quench thirst.

1: Find all functions f: R→R, so that any real number X and Y have f({x}y)=f(x){f(y)}

Hehehe, Qin Luo's eyes flickered, this question is quite interesting. He used the knowledge of junior high school and high school to the extreme.

Qin Luo smiled slightly, and looked up at the surroundings. It was all international moves-biting the penholder!

Ha ha-horrible.

Countless people stayed in place with their pen holders, let alone solving problems, they couldn't even move the pen.

Alas, the master is so lonely...

Qin Luo shook his head and started writing. In just a few minutes, the answer was clearly on the paper.

Solution: Let y=0, we can get f(0)=f(x){f(0)}(*), if {f(0)}≠0, then f(x) is a constant function, forest f (x)=c, substituting for c=c{c}

Therefore c=0, alive {c}=1, that is, 1≤C＜2

If f{(0)}=0, we can get...

...

……Substituting into the formula can get f(x)=0 and f(x)=c, 1≤c<2 all meet the requirements and are all solutions.

This is IMO. It feels very relaxed. Qin Luo put down the pen in his hand and looked at the people around him who were ”worrying hard”.

Thinking it was okay, he picked up the biscuit and gnawed it.

”Katz, Katz.”

In this quiet classroom, the cracking of biscuits can be heard clearly.

what's the situation? What sound is this?

For a time, everyone turned around.

But the next second, they were shocked, and Qin Luo was holding the biscuit and sending it to his mouth.