Question

Considere que f(x)= - 3x +5, g(x)= 3x -5 e h(x)= x +3 Determine:
a) f(h(-1))
b) g(f(0)-h(f(0))
c) h(g(f(-3)))

Answer 1

$a) f[h(-1)]=-3(-1+3)+5 \\ f[h(-1)]= -1$


$b)g[f(0) - h(f(0))] \\ \\ f(0)=-3.0+5=5 \\ \\ h[f(0)]=h(5) = 5+3=8 \\ \\ g(5-8)=g(-3) \\ \\ g(-3)=3.-3-5 \\ g(-3)=-14$


$c)h[g(f(-3))]= \\ \\ f(-3)=-3.-3+5=14 \\ \\ g(14)=3.14-5=37 \\ \\ h(37)=37+3=40$