"Discourageable" means susceptible to discouragement or easily demotivated. The antonyms of discourageable would, therefore, be words that refer to being motivated, inspired, or driven. Some possible antonyms for discourageable could be motivated, encouraged, determined, inspired, enthusiastic, confident, brave, undaunted, and resolute. People who are motivated tend to be driven to achieve their goals, while those who are encouraged are given the support and validation they need to continue pursuing their projects. Those who are determined show a great amount of resolve and persistence, while the inspired are motivated by creativity and passion. In contrast, people who are discourageable may lack confidence and may easily lose faith in their abilities or goals.