Question

A function f is defined by f(x) = 2x – 3 find x such that f(x) = f(1 – x)

Answer 1

f(1 – x) = 2(1 – x) – 3

= 2 – 2x – 3

= – 2x – 1

f(x) = f(1 – x)

2x – 3 = – 2x – 1

2x + 2x = 3 – 1

4x = 2

x = `2/4 = 1/2`