求救!後天即將要交的作業!!!!


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請各位神人天才大大儘速解題 萬分感謝!!

Problem A

Suppose that a function f domain(-1,3)and range(-4,6).Find the domain and range of a function g(x) = f(根號x) if possible.

Problem B

Assume that f is a function from all positive integers to all positive integers satisfying the following properties:

(a) f(mn)= f(m)f(n) if m and n are two coprime positive integers

(b) f(m+n)= f(m)+f(n) if m and n are two prime numbers.

Find the f(2013)

ProblemC

Let f(x)= x+2 if x< -1 or x= -1;f(x)= x平方 if x> -1.Find functions g(x) and h(x) such that f(X)= g(x)+h(x) for all real numbers x where g(x) is even and h(x) is odd.Do you have ideas how to find such functions g(x) and h(x) for general functions f(x)?

這是我第一份大學作業 可是它讓我完全看不懂啊

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