diketahui f(x)=4x+1/x+3;x=-3 tentukan g-1(x) jika (f°g)-1(x)=37-12x/2x-8;x=4

(fog)^-1(x) = -12x+37/2x-8
y = -12x+37/2x-8
x = -12y+37/2y-8
2xy-8x = -12y+37
2xy+12y = 8x+37
y(2x+12) = 8x+37
y = 8x+37/2x+12
(fog)(x) = 8x+37/2x+12

f(g(x)) = 8x+37/2x+12
4(g(x))+1 = 8x+37/2x+12
4(g(x)) = 8x+37/2x+12. - 1
= 8x+37-2x-12/2x+12
= 6x+25/2x+12
g(x) = 6x+25/8x+48
y = 6x+25/8x+48
x = 6y+25/8y+48
8xy+48x = 6y+25
8xy-6y = -48x+25
y(8x-6) = -48x+25
y = -48x+25/8x-6
g^-1(x) = -48x+25/8x-6 dengan x tidak = 3/4