Funçao

Respostas:

1)

f(-3)=2.(-3)² +1 f(0)=2.(0)²+1

f(-3)=2.9+1=1 f(0)=2.0+1=1 f(2)=2.(2)²+1 f([pic])=2.([pic])²+1 f(2)=2.4+1=9 f([pic])=2.5+1=11
Im={19, 9, 1, 11}
2) a) D={5, 12, 23}
b) Im={7, 14, 25}
c) f(5)=7
d) f(12)=14.
3) f(x) = 2x -3 f(g(x)) = 2.g(x) - 3 - 4x + 1= 2.g(x) - 3
- 4x + 1+3=2g(x)
-4x/2+4/2=g(x)
g(x) = -2x + 2 g(-1) = -2(-1) + 2 = 4. A alternativa correta é a letra D.
4) gof (x) = g(f(x)) = g(2x + 3) = 5(2x + 3) = 10x + 15
Fog (x) = f(g(x)) = f(5x) = 2(5x) + 3 = 10x + 3
5) a) X | Y=2x+1 | Y A 3----(7 B 3 | Y=2.(3)+1= | 7 4 ---(9 4 | Y=2.(4)+1= | 9 5----(11 5 | Y=2.(5)+1= | 11 6----(13 6 | Y=2.(6)+1= | 13
b) D(f)={3,4,5,6};
c) CD(f)={7,9,11,13};
d) lm(f)={7,9,11,13};
6) X | Y=x+4 | Y A -1 2 B -1| Y=-1+4= | 7 0 3 0| Y=0+4= | 9 1 4 1| Y=1+4= | 11 2 5 2 | Y=2+4= | 13 6
A alternativa será a letra C;
7) a)X | Y=-5x+2 = | Y A 3----( -13 B 3 | Y=-5.3+2= | -13 4 ---( -18 4 | Y=-5.4+2= | -18 5----( -23 5 | Y=-5.5+2= | -23 6----( -28 6 | Y=-5.6+2= | -28
b) D(f)={3,4,5,6};
c) CD(f)={-13,-18,-23,-28};
d) lm(f)={-13,-18,-23,-28};
8) g(f(x)) = 5.(2x + 3) = 10x +15 f(g(x)) = f(5x) = 2(5x) + 3 = 10x + 3
9) g(f(x)) = 2.(a +1) = 2a + 2+1 = 2a+3