Question

Considere as seguintes funções: F(x) =4x -1, g (x)=x+5 e h(x) =7x +11
Determine:
a) F(g(x))
b) F(h(-3))
c) h(g(f(5)))
e) F-1(f(x))

Answer 1

f(x) = 4x - 1
g(x) = x + 5
h(x) = 7x + 11
a)
f(g(x)) = f(x + 5) = 4(x + 5) - 1 = 4x + 20 - 1 = 4x + 19

b)
f(h(- 3)) = f(7.(- 3) + 11) = f(- 21 + 11) = f(- 10) = - 10.4 - 1 = - 40 - 1 = - 41

c)
h(g(f(5)) = h(g(4.5 - 1)) = h(g(19)) = h(19 + 5) = h(24) =  7.24 + 11 = 168 + 11 = 179

d)
f⁻¹(f(x)) = x