已知函数f(x)满足f(ab)=f(a)+f(b),且f(2)=p,f(3)=q,那么f(72)=______.
人气:365 ℃ 时间:2020-09-11 22:12:06
解答
由题意可知:
f(6)=f(2)+f(3)=p+q
∴f(18)=f(6)+f(3)=p+q+q=p+2q
∴f(36)=f(18)+f(2)=p+2q+p=2p+2q
∴f(72)=f(36)+f(2)=2p+2q+p=3p+2q
故答案为:3p+2q.
推荐
猜你喜欢
- 请用根深蒂固 轻而易举 持之以恒 造句
- (m的2次方-6mn+9n的2次方)/(m-3n)-(4m的二次方-9n的二次方)/(2m-3n)
- 如图,在三角形ABC中,D是BC的中点,E、F是AC的三等分点,已知三角形ABC的面积是108平方厘米,求它CDE面积
- 猜成语!1.思想一致,共同努力.2.理由正确充分,说话的气势很盛.3.只顾眼前,得过且过.
- 联系上下文,先理解带点词的意思,在理解句子.
- that means you don't need to water the garden
- 9分之2x-6分之1x=3分之2解方程
- Some young men still____witn their parents after graduation.选项见下