For fx1x and gx2x2x2 find the following functions fogx gofx

For f(x)=1-x and g(x)=2x^2+x+2, find the following functions. (fog(x); (gof(x); (gof)(3); gof(3) (fog)(x)= (gof)(x)= (fog)(3)= (gof)(3)=

given f(x)=1-x ,g(x)=2x²+x+2

a)(fog)(x)

(fog)(x)=f(g(x))

(fog)(x)=f(2x²+x+2)

(fog)(x)=1-(2x²+x+2)

(fog)(x)=-2x²-x-1

b)(gof)(x)

(gof)(x)=g(f(x))

(gof)(x)=g(1-x)

(gof)(x)=2(1-x)²+(1-x) +2

(gof)(x)=2(1-2x+x²)+(1-x) +2

(gof)(x)=2-4x+2x²+1-x +2

(gof)(x)=5-5x+2x²

c)(fog)(x)=-2x²-x-1

(fog)(3)=-2(3)²-(3)-1

(fog)(3)=-2(9)-(3)-1

(fog)(3)=-18-3-1

(fog)(3)=-22

d)(gof)(x)=5-5x+2x²

(gof)(3)=5-5*3+2*3²

(gof)(3)=5-15+2*9

(gof)(3)=5-15+18

(gof)(3)=8