Jawab:
C. ([tex]1\frac{1}{2}[/tex], 0) dan (-4, 0)
Penjelasan dengan langkah-langkah:
memotong sumbu x berarti
f (x) = 0
-2x² - 5x + 12 = 0
(-2x + 3)(x + 4) = 0
-2x + 3 = 0
-2x = -3
x = 3/2 = [tex]1\frac{1}{2}[/tex]
dan
x + 4 = 0
x = -4
jadi titiknya
([tex]1\frac{1}{2}[/tex], 0) dan (-4, 0)
Penjelasan dengan langkah-langkah:
_____________________________
GRAFIK FUNGSI
f(x) = -2x² - 5x + 12
→ subtitusi f(x) = 0
0 = - 2x² - 5x + 12
- 2x² - 5x + 12 = 0
→ Kalikan - 1 di setiap ruas
2x² + 5x - 12 = 0
2x² + 8x - 3x - 12 = 0
2x (x + 4) - 3 (x + 4) = 0
(x + 4) (2x - 3) = 0
[tex]\\[/tex]
x + 4 = 0
x = 0 - 4
x = - 4 → HP = {- 4, 0}
[tex]\\[/tex]
2x - 3 = 0
2x = 0 + 3
2x = 3
x = 3/2
x = 1 1/2 → HP = {1 1/2, 0}
[tex]\\[/tex]
Jadi jawabannya adalah:
C. (1 1/2) dan (-4,0)
_____________________________
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[tex]\colorbox{black}{\color{magenta}\boxed{\color{orange}{\large{\star}}\:\color{aqua}\large{\texttt{AarendellTheda}\:\color{orange}{\large{\star}}}}}[/tex]
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