Question

Dadas as funções f(x)= x²-x+1 eg(x)=5x-9, determine: A) f(-1)+g(-2) B) f(g(x))= C) g(f(x))=

Answer 1

f(x)= x²-x+1 eg(x)=5x-9, determine: A) f(-1)+g(-2) B) f(g(x))= C) g(f(x))=

f(1)=1-1+1=1
g(-2)=4+2+1=7
f(1)+g(-2)=1+7=8

fog=(5x-9)²-(5x-9)+1
fog=25x²-5x×9+81
fog=25x³-45x+81

gof=5( x²-x+1 )-9
gof=5x²-5x+5-9
gof=5x²-5x-4