Jawab:
4) f(x)= 2x² -5x -1 . g(x) = 2x + 3 , h(x) = 3x - 1
a, (f +g) = 2x² -5x -1 + 2x + 3 = 2x² - 3x + 2
b. (f - h) = 2x² - 5x - 1 - (3x - 1) = 2x² - 8x
c. 2g + h = 2 (2x + 3) + (3x - 1) = 4x + 6 + 3x - 3 = 7x + 3
d. g . h = (2x+3)(3x -1) = 6x² +7x 0 3
5) f(x) = x² +2x- 1
g(x) = 5x- 2
h(x) = x - 7
a) fog(x) = f (5x-2) = (5x-2)² + 2(5x-2) -1
= 25x² -20x + 4 + 10x - 4 - 1
= 25x² -10x - 1
b) gof(x) = g (x² +2x - 1) = 5 (x² +2x -1) = 5x² +10x - 5
c) gog(2) = g { g(2) } = g { 5(2)- 2} = g{10-2} = g(8)
gog(2) = 5(8) - 2 = 40- 2 = 38
no. 2, 3 di lampiran
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Verified answer
Jawab:
4) f(x)= 2x² -5x -1 . g(x) = 2x + 3 , h(x) = 3x - 1
a, (f +g) = 2x² -5x -1 + 2x + 3 = 2x² - 3x + 2
b. (f - h) = 2x² - 5x - 1 - (3x - 1) = 2x² - 8x
c. 2g + h = 2 (2x + 3) + (3x - 1) = 4x + 6 + 3x - 3 = 7x + 3
d. g . h = (2x+3)(3x -1) = 6x² +7x 0 3
5) f(x) = x² +2x- 1
g(x) = 5x- 2
h(x) = x - 7
a) fog(x) = f (5x-2) = (5x-2)² + 2(5x-2) -1
= 25x² -20x + 4 + 10x - 4 - 1
= 25x² -10x - 1
b) gof(x) = g (x² +2x - 1) = 5 (x² +2x -1) = 5x² +10x - 5
c) gog(2) = g { g(2) } = g { 5(2)- 2} = g{10-2} = g(8)
gog(2) = 5(8) - 2 = 40- 2 = 38
no. 2, 3 di lampiran