Question

Detrrmine a inversa das funções:
a)y=4x+2
b)y= x-4/x+1

Determine os domínio das funções
a)y=√5-x
b)y=√7-x+1/√x-2
c)y=3√3x
d)y=1/3√x

Answer 1

Explicação passo-a-passo:

1) a) y=4x+2

4x+2=y

4x=y-2

x=(y-2)/4

x=y

y=(x-2)/4

y^-1=x/4-1/2

b) y=(x-4)/(x+1)

y(x+1)=(x-4)

yx+y-x+4=0

yx-x=-4-y

x(y-1)=-4-y

x=(-4-y)/(y-1)

y=(-4-x)/(x-1)

y^-1=(-4-x)/(x-1)

2-)a) 5-x>=0

-x>=-5/(-1)

x<=5

D={x€lR/x<=5}

b) 7-x>=0

-x>=-7/(-1)

x<=7

e

x-2>0

x>2

D=]2;7]

c)3x>=0

x>=0/3

x>=0

D={x€lR/x>=0}

d) x>0

D={x€lR/x>0}