No ...not all of them you mentioned binds to promoters ... read what I write ....
The operators, repressors and activators bind to specific regions on the promoter. Each repressor or activator could bind to the same region or different region.
for example if an activator and repressor binds to the same region on a promoter, they will compete for that spot ... so depending on the concentration of either ... the gene will be expressed or not.
operators are only found in prokarytic cells.
A corepressor is a protein that decreases gene expression by binding to a transcription factor which contains a DNA binding domain. The corepressor is unable to bind DNA by itself.
Inducers function by disabling repressor proteins. Repressor proteins bind to the DNA strand and prevent RNA polymerase from being able to attach to the DNA and synthesize mRNA. Inducers bind to repressors, causing them to change shape and preventing them from binding to DNA. Therefore, they allow transcription, and thus gene expression, to take place. Some inducers are modulated by activators, which have the opposite effect on gene expression as repressors. Inducers bind to activator proteins, allowing them to bind to the DNA strand where they promote RNA transcription.