Question

helloo. va rog orice stiti de aici. am nevoie please

Answer 1

6) a) 3x-1>=0, 3x>=1, x>=1/3, x€[1/3, +oo)

b) 6x-2<=0, 6x<=2, x<=1/3, x€(-oo, 1/3]

c) -4x-1<=0, 4x>=-1, x>=-1/4, x€[-1/4, +oo)

d) 1-x>0, x<1, x€ (-oo, 1)

e) 3-21x>=0, 21x<=3, x<=1/7, x€(-oo, 1/7]

f) 5x+10<=0, 5x<=-10, x<=-2, x€(-oo, 2]

g) 6-3x>0, 3x<6, x<2, x€(-oo, 2)

5) a) f(x)= x-3

f(0)= -3, B(0,-3)

f(x)=0, x-3=0, x= 3, A(3,0)

A si B sunt punctele in care graficuf functiei f (Gf) intersecteaza OX, reapectiv OY

∆OAB dreptunghic in O,

Aria ∆AOB = AO*BO/2= 3*3/2=9/2

AO=√[(3-0)^2+(0-0)^2= √3^2= 3

BO=√[(0-0)^2+(0+3)^2= √3^2= 3

b) g(x)= 2x+4

g(0)= 4, B(0, 4)

g(x)= 0, 2x+4= 0, x = -2, A(-2, 0)

A si B sunt punctele in care graficuf functiei g (Gg) intersecteaza OX, reapectiv OY

∆OAB dreptunghic in O,

Aria ∆AOB = AO*BO/2= 2*4/2=4

AO=√[(2-0)^2+(0-0)^2= √2^2= 2

BO=√[(0-0)^2+(0-4)^2= √4^2= 4