Question

the domain for the function f(x)=logx *cosxis

Answer 1

quantity in log should be positive

Answer 2

so x>0

Answer 3

is it log(x*cosx) or (logx)*(cosx)

Answer 4

1st

Answer 5

okkk

Answer 6

than
xcosx>0

Answer 7

means x>0
or cosx>0

Answer 8

2nd case both should be negative
x<0
cosx<0

Answer 9

take first
x>0
cosx>0......cos >0 in (-pi/2 , pi/2)

Answer 10

as x>0 so negative is neglected

Answer 11

so x belong to (0,pi/2)

Answer 12

2nd case

Answer 13

x<0
cosx<0 cos satisfy it in (pi/2 , pi ) and (-pi/2, -pi)

Answer 14

as x<0 so pi/2 to pi part is neglected

Answer 15

kk thanks

Answer 16

so x belong to (-pi, -pi/2)

Answer 17

kkk