设f(x)=arccos(lgx),求f(10的负一次方),f(1),f(10)这题谁会做?.

题目

设f(x)=arccos(lgx),求f(10的负一次方),f(1),f(10)这题谁会做?.
这是高等数学题反函数那一章

答案

f(10^-1)=arccos(lg10^-1)
=arccos(-1*lg10)
=arccos(-1)
=π
f(1)=arccos(lg1)
=arccos0
=π/2
f(10)=arccos(lg10)
=arccos(1)
=arccos(1)
=0