WASHINGTON — House Republicans on Tuesday announced investigations into two of President Trump’s most frequent grievances, unveiling new inquiries into actions of the Obama administration connected to Hillary Clinton.

In the first of two back-to-back announcements, the top Republicans on the House Judiciary and Oversight Committees said they would formally examine the Obama Justice Department’s investigation of Mrs. Clinton’s emails. Less than an hour later, Republicans from the Intelligence and Oversight Committees said they were opening a separate inquiry into the administration’s approval of a 2010 agreement that left a Russian-backed company in control of much of the United States’ uranium.

Representative Devin Nunes, Republican of California and the chairman of the Intelligence Committee, said he had not discussed his investigation with the White House. But the uranium deal and the Justice Department’s handling of the Clinton case have been regular targets of Mr. Trump’s, first on the 2016 presidential campaign trail and now in Washington.

Last week, the president wrote on Twitter that the uranium deal was done “with Clinton help and Obama administration knowledge” and was “the biggest story that Fake Media doesn’t want to follow!”