Question

Try It #4
For the function f (x) = | 2x − 1 | − 3, find the values of x such that f(x) = 0.

Answer 1

x=2 or x= -1

Explanation:

when f(x) = 0

⇒| 2x-1 | =3

case(i) (x>1/2)

2x-1=3

x=2

case(ii) (x<1/2)

-(2x-1)=3

2x-1=-3

x=-1

case(iii) (x=1/2)

`0=3` absurd.