Question

Find the domain and range of,
f(x) = |2x - 3|-3​

Answer 1

Answer:

Domain

x can take any value so

$x \in \: R$

Range

Mod is always non negative , so

$|2x - 3| \geqslant 0 \\ \\ |2x - 3| - 3 \geqslant - 3 \\ \\ f(x) \geqslant - 3$

Answer 2

Answer:

F(x) =2x-6 if x>3/2

=-2x if x<3/2

Domain=R

Range=[-3 infinity)