Question

Diketahui f(x)=(2x-3)/5 (fog)(x)=(20x+9)/5 dan h(x)=x-7 tentukan rumus (hog)(x+1)

Answer 1

(fog)(x)=(20x+9)/5
f(g(x))=(20x+12-3)/5
f(g(x))=(2(10x+6)-3)/5
g(x)=10x+6

(hog)(x)=h(g(x))=h(10x+6)
=(10x+6)-7
=10x-1

(hog)(x+1)=10(x+1)-1
=10x+10-1
=10x+9