Question

1)Determine a inversa das funções
a)f (x)=3x+1
b)f (x)=4-x
c)f (x)=x+4
             3
d)f (x)=2x+3
             x-3
e)f (x)=6x-1
           2x+4

Answer 1

a)
x=3y+1
x-1=3y
y=$\frac{x-1}{3}$

b)
x=4-y
x+y=4
y=4-x

c)
x=$\frac{y+4}{3}$
3.x=y+4
y=3x+4

d)
x=$\frac{2y+3}{y-3}$
x.(y-3)=2y+3
xy-3x=2y+3
xy-2y=3x+3
y(x-2)=3x+3
y=$\frac{3x+3}{x-2}$

e)
x=$\frac{6y-1}{2y+4}$
x.(2y+4)=6y-1
2xy+4x=6y-1
2xy-6y=-4x-1
y.(2x-6)=-4x-1
y=$\frac{-4x-1}{2x-6}$