Diketahui F(x) = 2x + 1 dan 9 (x) = 3-2x, mata (F.g)(x)=....
A.-4x² + 4x +3
B.x² + 4x +3
C. - x² - 4x +3
D.4x²+uxt3
E. - x² - 4x-3
[tex] \mathbb \color{aqua} \underbrace{JAWABAN}[/tex]
A. -4x² + 4x + 3
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[tex] \mathbb \color{orange} \underbrace{PENYELESAIAN}[/tex]
[tex] \underline{ \overline{ \boxed{ \bold{diketahui}}}}[/tex]
- f(x) = 2x + 1
- g(x) = 3 - 2x
[tex] \\ \underline{ \overline{ \boxed{ \bold{ditanya}}}}[/tex]
- (f . g)(x)
[tex] \\ \underline{ \overline{ \boxed{ \bold{jawab}}}}[/tex]
[tex] \begin{aligned} \sf (f \: . \: g)(x) &= \sf f(x) \: . \: g(x) \\ &= \sf (2x + 1)(3 - 2x) \\ &= \sf 6x - {4x}^{2} + 3 - 2x \\ &= \bold{ { - 4x}^{2} + 4x + 3 }\end{aligned}[/tex]
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[tex] \mathbb \color{red} \underbrace{KESIMPULAN}[/tex]
Jadi, hasil dari (f . g)(x) adalah -4x² + 4x + 3
[tex] \colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}\colorbox{ff00c0}{}\colorbox{ff00a0}{}\colorbox{ff0080}{}\colorbox{ff0040}{} [/tex]
Jawab:
semoga membantu
Penjelasan dengan langkah-langkah:
f(x) = 2x + 1 dan g(x) = 3 - 2x
(f.g)(x) = (2x + 1) . (3 - 2x)
............ = -4x² + 4x + 3 (A)
[answer.2.content]
