= + 1 x x2 - 4 x2 - 4 1 1 x x2 x g(x) = f(x) = x2 - 4 g(f(x)) Write down g(x) with brackets for x 1 x2 - 4 x x2 - 4 g(x) = 1 ( ) Domain x-axis values Input inside bracket put f(x) Range y-axis values Output g(f(x)) = 1 x2 - 4 A complex function made up of 2 or more simpler functions Similar to composite Area Restriction x2 - 4 ≠ 0 Composite Functions (x – 2)(x + 2) ≠ 0 = + x ≠ 2 x ≠ -2 f(g(x)) = g(x) = 1 x f(x) = x2 - 4 f(g(x)) Write down f(x) with brackets for x - 4 1 x2 1 x x f(x) = ( )2 - 4 inside bracket put g(x) 1 x 2 - 4 = 1 x2 - 4 f(g(x)) = Domain x-axis values Input Range y-axis values Output Restriction x2 ≠ 0