Resposta :
a)f (x)=x/2-5
y=x/2-5
y+5=x/2
x=2(y+5) trocando x por y
y=2(x+5)
b)f(x)=3x2²+4
y=3x²+4
y-4=3x²
x²=(y-4)/3
x=V(y-4)/3 trocando
y=V(x-4)/3
c)f(x)=6x-1/3x+2
y=19/3x+2
y-2=19/3x
19x=3(y-2)
x=(3/19)(y-2) trocando
y=(3/19)(x-2)
determine a inversa de cada função bijetora. a) f (x)=x/2-5 b) f(x)=3x2²+4 , com x>_0 c) f(x)=6x-1/3x+2 , com x diferente -2/3
a)f (x)=x/2-5
y=x/2-5
y+5=x/2
x=2(y+5) trocando x por y
y=2(x+5)
b)f(x)=3x2²+4
y=3x²+4
y-4=3x²
x²=(y-4)/3
x=V(y-4)/3 trocando
y=V(x-4)/3
c)f(x)=6x-1/3x+2
y=19/3x+2
y-2=19/3x
19x=3(y-2)
x=(3/19)(y-2) trocando
y=(3/19)(x-2)