Let g be the function given by g(x) = 3 − x /x + 5 . Find and simplify g(2) − 1 /g(−3) . A) −1 /21 B) −2 /21 C) −4 /21 D) −8 /21

Answer:( f + g ) (x) = –2x + 6( f – g ) (x) = 8x – 2( f  × g ) (x) = –15x2 + 2x + 8( f  × g ) (x) =  3x+2/4−5x​ Step-by-step explanation:Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.(f + g)(x) = f (x) + g(x)= [3x + 2] + [4 – 5x]= 3x + 2 + 4 – 5x= 3x – 5x + 2 + 4= –2x + 6(f – g)(x) = f (x) – g(x)= [3x + 2] – [4 – 5x]= 3x + 2 – 4 + 5x= 3x + 5x + 2 – 4= 8x – 2(f  × g)(x) = [f (x)][g(x)]= (3x + 2)(4 – 5x)= 12x + 8 – 15x2 – 10x= –15x2 + 2x + 8​