Question

Find the range of each of the following
(i) f(x)=2-3x, $x\in R$, x>0

Answer 1

$f\left(x\right)=2-3x$

$x\in R$ $x>0$

$0<x<\infty$

$0<3x<\infty$

$0>-3x>-\infty$

$2>2-3x>-\infty$

so range of $f\left(x\right)=(-\infty ,2)$.