Jawab:
32.
f(x) = x + 5
g(x) = x - 2
(f o g)(x) = f(g(x))
(f o g)(x) = f(x - 2)
(f o g)(x) = (x - 2) + 5
(f o g)(x) = x + 3
33.
sama seperti nomor 32 (?)
34.
f(x) = 3x - 5 g(x) = x² - 6x
(f o g)(x) = f(x² - 6x)
(f o g)(x) = 3(x² - 6x) - 5
(f o g)(x) = 3x² - 18x - 5
35.
Yang merupakan daerah asal, yaitu A = {1, 2, 3}
36.
f(x) = 3x + 7
f(-4) - f(8) = (3(-4) + 7) - (3(8) + 7)
= (-12 + 7) - (24 + 7)
= -5 - 31
= -36
37.
f : R→R f(x) = 8x + 4
g: R→R g(x) = 2x + 1
= f(2x + 1)
= 8(2x + 1) + 4
= 16x + 8 + 4
= 16x + 12 = 4(4x + 3)
38.
(g o f)(x) = g(f(x))
= g(8x + 4)
= 2(8x + 4) + 1
= 16x + 8 + 1
= 16x + 9
39.
f : R→R f(x) = 4x + 4
g: R→R g(x) = 5x + 1
= g( 4x + 4)
= 5(4x + 4) + 1
= 20x + 20 + 1
= 20x + 21
40.
f : R→R f(x) = 6x + 7
g: R→R g(x) = 3x + 2
= g(6x + 7)
= 3(6x +7) + 2
= 18x + 21 + 2
= 18x + 23
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Jawab:
32.
f(x) = x + 5
g(x) = x - 2
(f o g)(x) = f(g(x))
(f o g)(x) = f(x - 2)
(f o g)(x) = (x - 2) + 5
(f o g)(x) = x + 3
33.
sama seperti nomor 32 (?)
34.
f(x) = 3x - 5 g(x) = x² - 6x
(f o g)(x) = f(g(x))
(f o g)(x) = f(x² - 6x)
(f o g)(x) = 3(x² - 6x) - 5
(f o g)(x) = 3x² - 18x - 5
35.
Yang merupakan daerah asal, yaitu A = {1, 2, 3}
36.
f(x) = 3x + 7
f(-4) - f(8) = (3(-4) + 7) - (3(8) + 7)
= (-12 + 7) - (24 + 7)
= -5 - 31
= -36
37.
f : R→R f(x) = 8x + 4
g: R→R g(x) = 2x + 1
(f o g)(x) = f(g(x))
= f(2x + 1)
= 8(2x + 1) + 4
= 16x + 8 + 4
= 16x + 12 = 4(4x + 3)
38.
(g o f)(x) = g(f(x))
= g(8x + 4)
= 2(8x + 4) + 1
= 16x + 8 + 1
= 16x + 9
39.
f : R→R f(x) = 4x + 4
g: R→R g(x) = 5x + 1
(g o f)(x) = g(f(x))
= g( 4x + 4)
= 5(4x + 4) + 1
= 20x + 20 + 1
= 20x + 21
40.
f : R→R f(x) = 6x + 7
g: R→R g(x) = 3x + 2
(g o f)(x) = g(f(x))
= g(6x + 7)
= 3(6x +7) + 2
= 18x + 21 + 2
= 18x + 23