Could someone please check my work

2. min (f, g ) = 7(f+9) - 2/f- 91.be ofI most motionut of goes ), in Let f and g be functions from D to R and define the functions max (f, g) and min (f, g) from D to RR by max (f, 9)(x) = max {f(x), g(x) } , min (f, g) (x) = min {f(x), 9(x) } . There are two cases to consider. Case one: f(a) f So , 7 ( f + 9 ) - 71f - 91 - 7 ( 5 + 9 ) - 7 19 - 1 ) = = (f+ g - g+ f ) = =(2f) = = min (f, g) Case two: f(a) > g(a) for some ac E D min (f, g) = g and If - gl = f - g since f > g So , 7 ( f + 9 ) - 71f - 91 = - # ( 8 + 9 ) - 2 ( 8 - 9 ) - ( f+g - f+ g ) =(29) = g = min (f, g)