"daring undertaking" is correct and usable in written English.
It is a phrase used to describe a risky or courageous action or effort. For example, "Alice was determined to finish the project, despite the difficult and daring undertaking that it required."
In William Shakespeare's histories, for instance, the subject of kingship is thoroughly examined in all its implications: both the rightful but incompetent sovereign and the usurping but strong monarch are scrutinized a most daring undertaking during the reign of Elizabeth I (1558 1603).
But for their daring undertaking to succeed, Gabčík and Kubiš needed support on the ground.
Many critics through the centuries have acknowledged its linguistic energy and wit, including even Victorians such as Leigh Hunt, who praised its literary quality in a selection of Restoration plays that he published in 1840 (itself a daring undertaking, for reputedly "obscene" plays that had been long out of print).
In 1897, Andrée's daring or foolhardy undertaking nourished Swedish patriotic pride and Swedish dreams of taking the scientific lead in the Arctic.
In sending a vanguard of black fighters to pass on to their Congolese brothers the guerrilla tactics that had succeeded in Cuba, Fidel Castro and the Argentinian-born Che Guevara were undertaking a daring experiment in the internationalization of the Communist revolution.
Authorities have expressed concern that the cartel might undertake a daring jailbreak to get Vicentillo out.
"Dream West" (1984) tells how Fr?nt, a daring, ambitious Army officer, undertook surveying expeditions in the West in the 1840s, among them the vital mapping of the Oregon Trail.
One of the most daring space missions ever undertaken is nearing Mars.
But, you ask, how did she manage to subdue the entire court long enough to undertake such daring culinary maneuvers without accomplices?
Individuals and groups from throughout the upper Congo River basin undertook journeys of daring and self-sacrifice to provide evidence of atrocities for the colonial authorities, missionaries, and international investigators.
