can you please solve it.........Find the range of the function f(x)= 2-3x, x belongs to R, R>0
The given function is f(x) = 2 – 3x, x ∈ R+.
Let y = 2 – 3x
∴ 3x = 2 – y
Given, x ∈ R+
∴ x > 0
⇒ 2 – y > 0
⇒ – y > – 2
⇒ y < 2
Thus, range of f(x) = (– ∞, 2).