Matematica

EX: f(x) = 2x+1
g(x) = x * 1
f o g (x) = sx + 3
f(g(x)) = 5x + 3
f(x-1) = 5x + 3

2(x-1)+1=5x+3
2x-2+1=5x+3
2x-5x=1+3
-3x=4
x=-4/3

EX:²

g o f(x) - g (f(x))
g o f(x) = x+3
g(f(x)) = x+3
g(2x+1) = x+3
2x+1*1=x+3
2x-x=3
x=3

Agora vamos resolver algumas questões

Considere a função bijetora f:R R dada por f(x)=3-5x/2 Calcule f-¹ (3/2)

x=3-5y/2
3-5y = 2x
y-¹= 2x+3/5
y-¹= -2*3/2+3/5

y-¹ = -3+3/5 = 0/5
y-¹=0