Question
A function f is defined by $f(x) = 2x – 3$ find x such that $f(x) = f(1 – x)$
✓
Answer
$f(1-x)=2(1-x)-3$
$=2-2 x-3$
$ =-2 x-1$
$ f(x)=f(1-x) $
$ 2 x-3=-2 x-1$
$ 2 x+2 x=3-1 $
$ 4 x=2 $
$ x=\frac{2}{4}=\frac{1}{2}$
$=2-2 x-3$
$ =-2 x-1$
$ f(x)=f(1-x) $
$ 2 x-3=-2 x-1$
$ 2 x+2 x=3-1 $
$ 4 x=2 $
$ x=\frac{2}{4}=\frac{1}{2}$
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