Could someone please check my work and tell me if it's correct

2. min (f, g) = = (f + 9) - zlf - 91. Let f and g be functions from D to R and define the functions max (f, g) and min (f, g) from D to R by max (f, g)(x) = max {f(x), 9(x) } , min (f, g)(x) = min {f(x), g(2) } There are two cases to consider. Case one: f(x) f so , 7 ( f + 9 ) - 71f - 91 = = ( f + 9 ) - 7 19 - 1 ) ( f+ g - g+ f) = = ( 2f ) = = min (f, g) Case two: f (a) > g(x) for some a E D min (f, g) = g and If - gl = f - g since f > g 7 ( f+ 9 ) - 71f - 91 = = = ( 1 + 9 ) - 7 ( f - 9 ) - (f + g - f + g ) = (29) = g = min (f, g)