Question

sejam f e g duas funcoes de r em r definidas por f(x)=4x+3 e g(x)=x-1,calcule. a)f(g(x)) b)g(f(x)) c)f(g(3)) d)g(f(3))

Answer 1

f(x) = 4x+3
g(x) = x-1

a) f(g(x)) = 4*g(x)+3
f(g(x)) = 4*(x-1)+3
f(g(x)) = 4x-4+3
f(g(x)) = 4x-1

b) g(f(x)) = f(x)-1
g(f(x)) = (4x+3)-1
g(f(x)) = 4x+3-1
g(f(x)) = 4x+2

c) f(g(3)) = 4*g(3)+3
f(g(3)) = 4*(3-1)+3
f(g(3)) = 4*2+3
f(g(3)) = 8+3
f(g(3)) = 11

d) g(f(3)) = f(3)-1
g(f(3)) = (3-1)-1
g(f(3)) = 2-1
g(f(3)) = 1