Diberikan dua buah fungsi masing-masing f(x) dan g(x) berturut-turut adalah:
f(x) = 3x + 2
g(x) = 2 − x
Tentukan:
a) (f o g)(x)
b) (g o f)(x)
no ngasal
no copas
pake cara
nt: maaf kalo susah :\
[tex] \mathbb \color{aqua} \underbrace{JAWABAN}[/tex]
- a) 8 - 3x
- b) 4 - 3x
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[tex] \mathbb \color{orange} \underbrace{PENYELESAIAN}[/tex]
[tex]\underline{ \overline{ \boxed{ \bold{diketahui}}}}[/tex]
- f(x) = 3x + 2
- g(x) = 2 − x
[tex] \\ \underline{ \overline{ \boxed{ \bold{ditanya}}}}[/tex]
- a. (f o g)(x)
- b. (g o f)(x)
[tex] \\ \underline{ \overline{ \boxed{ \bold{jawab}}}}[/tex]
a. (f o g)(x)
[tex] \sf(f \circ g)(x) = f(g(x))~~~~~~~~~~~~~~~~~~~~~~~~~~ \\ \sf = f(2 - x)~~~~~~~~ \\ \sf = 3(2 - x) + 2~ \\ \sf = 6 - 3x + 2~~~~ \\ \sf = \bold{8 - 3x}~~~~~~~~~~ \\ [/tex]
b. (g o f)(x)
[tex] \sf (g \circ f)(x) = g(f(x))~~~~~~~~~~~~~~~~~~~~~~~ \\ \sf = g(3x + 2) ~~\\ \sf = 2 -3x + 2 \\ \sf = 2 - 3x + 2 \\ \sf = \bold{4 - 3x}~~~~~~[/tex]
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[tex] \mathbb \color{red} \underbrace{KESIMPULAN}[/tex]
[tex] \sf Jadi, hasil \: dari \: \bold{(f \circ g)(x)} \: dan \: \bold{(g \circ f)(x)} \: adalah : [/tex]
[tex] \implies \bold{(f \circ g)(x) = 8 - 3x}[/tex]
[tex] \implies \bold{(g \circ f)(x) = 4 - 3x}[/tex]
[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]
[answer.2.content]
