Question

F (x)=x-2
g (x)= x+4
h (x)=x-5

tentukan (foh)-1 (x), (goh)-1 (x), (goh) (x), (fogoh) (x), (hofog) (x), (gofoh) (x), dan (g-1of) (x)!

tolong dijawab dengan benar ya!
Makasih!

Answer 1

f(x)=x-2 maka f^-1(x)=x+2

g(x)=x+4 maka g^-1(x)=x-4

h(x)=x-5 maka h^-1(x)=x+5

(foh)^-1(x)=h^-1(x) o f^-1(x)

=h^-1(x+2) = (x+2)+5=x+7

(goh)^-1(x)=h^-1(x) o g^-1(x)

=h^-1(x-4) = (x-4)+5 = x+1

(goh)(x)=g(h(x))=g(x-5)=(x-5)+4=x-1

(fogoh)(x)=(fog)(h(x))

=(fog)(x-5)

=f(x-5+4)

=f(x-1)= (x-1)-2= x-3