FUNÇÕES COMPOSTAS
1) dados f(x)=x+5 e g(x)=x²-3 Calcule:
a) f(g(0)), b) g(f(0)), c) f(g(x)) e d) g(f(x))
a) f(g(0)) b) g(f(0)) c) f(g(x)) d) g(f(x))
| f(g(0)) g(x) = x²-3 g(0) = o²-3 g(0) = -3 f(g(0)) = f(-3) g(x) = x+5 g(-3) = -3+5 g(-3) = 2 | g(f(0)) f(x) = x+5 f(0) = x+5 f(0) = 0+5 f(0) = 5 g(f(0))=g(5) g(x) = x²-3 g(5) = 5²-3 g(5) = 25-3 g(5) = 22 | f(g(x)) f(x) = x+5 x = g(x) f(g(x)) = g(x)+5 f(g(x)) = x²-3+5 f(g(x)) = x²+2 | g(f(x)) g(x) = x²-3 x = f(x) g(f(x)) = (x+5)²+3 = x²+10x+25-3 g(f(x))=x²+10x+22 |
