determine if the two functions f and g are inverses of each other algebraically. If not, why?f(x)=2x+3/4x-3 ; g(x) = 3x+3/4x-2a:no, (f o g)(x)= x+2/3yesno, (f o g)(x)=3xf(x) = -x^3+2 ; g(x) = 3(cubedroot)x-2/2a:no, (f o g)(x)= x-14/8yesno, (fog)(x)=3-x/2f(x)=-2x+4/2-5x ; g(x) = 4-2x/5-2xa:no, (f o g)(x)= -2x+6/3x-5no, (f o g)(x)= -6x+6/3x-5yes.(the number say ex. g(x) = 4-2x / the "/" is a fraction unit. first unit over the other as provided. any help appreciated thank you <3)
Accepted Solution
A:
Answer:N0 (f o g) x = 3x.Step-by-step explanation:If they are inverses of each other the f o g will equal x.f o g = 2(3x +3/ (4x - 2) + 3 / 4(3x + 3)/(4x - 2) - 3)= 2(3x + 3)+ 3(4x - 2) 4x - 2 --------------------------- * ---------------------------- 4x - 2 4(3x + 3) - 3(4x - 2) 6x + 12x= ---------------- 12 - 6= 3x.So they are not inverses.