Find the range of each of the following functions.
f(x) = 2 – 3x, x ∈ R, x > 0.

Question

Find the range of each of the following functions. f(x) = 2 – 3x, x ∈ R, x > 0.

Philoid · Accepted Answer

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).

Find the range of each of the following functions.f(x) = 2 – 3x, x ∈ R, x > 0.