Mayer has a lot of work in front of her. Besides overseeing the complex spinoff of Yahoo's Internet operations, she is also drawing up plans for a cost-cutting overhaul that will shed unprofitable products and possibly lay off hundreds of workers. She has promised to provide details of the reorganization late next month when Yahoo releases its fourth-quarter earnings. Meanwhile, restless Yahoo shareholders have been questioning whether Mayer will be able to reverse a steady decline in the company's revenue that pre-dated her arrival. Yahoo's ongoing financial funk has intensified speculation that Mayer might not be Yahoo's CEO a year from now, although company Chairman Maynard Webb said Wednesday that Yahoo's board still has faith in her.