Question

Diketahui = f(x)= x-3 , g(x)=x²+2x-3 ,h(x)=x² . ditanya fog (x),hog (x),hogof (x),gof (x)

Answer 1

Ket.
()* = kuadrat
()** =pngkat 3
()***= pngkat 4

f○g(x)=f(x*+2x-3)
=x*+2x-3-3
=x*+2x-6

h○g(x)= h( x*+2x-3)
=(x*+2x-3)*
=4x***+4x**-4x*-12x+9

g○f(x)=g(x-3)
= (x-3)*+2 (x-3)-3
=x*-4x

h○g○h(x)=h(g (x-3))
=h(x*-4x)
=(x*-4x)*
=x***-8x**+16x*