Answer:
Domain: (-∞, ∞); range: (-∞, ∞).
Explanation:
In the given function, f(x)= -2x + |3sinx|, the range of the |3sinx| term is [0, 3]. That of the -2x term is (-∞, ∞).
The range of f(x)= -2x+|3sinx| is thus (-∞, ∞); the |3sinx| term has no effect on this.
There are no restrictions on the input to f(x)= -2x+|3sinx|. The domain is thus (-∞, ∞).