Question

Rewrite as a piece-wise-defined function $f(x)=\left|3x-9\right|+2$ Thankyou

Answer 1

Step-by-step explanation:

$f(x) = |3x - 9| + 2$

here 3x–9=0, i.e x = 3 which is turning point. so,

$when \: x \geqslant 3$

$f(x) = 3x - 9 + 2 = 3x - 7$

$when \: x < 3$

$f(x) = - 3x + 9 + 2 = - 3x + 11$

so,

f(x) = 3x – 7 , x ≥ 3

= –3x+11 , x < 3