Find the range of each of the following functions.
f(x) = 2 – 3x, x ∈ R, x > 0.
Given: f (x) = 2 – 3x, x ∈ R, x > 0
As x > 0
⇒ 3x > 0
⇒ -3x < 0
⇒ -3x + 2 < 0 + 2
⇒ 2 – 3x < 2
⇒ f(x) < 2
Hence, range of f(x) = (-∞, 2).