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Diketahui f ( x ) = 2 x + 4 1 ​ dan g ( x ) = 3 x − 3 1 ​ . Nilai ( f ∘ g ) ( 0 ) + ( f ∘ g ) − 1 ( 0 ) = ....

Diketahui dan . Nilai ....

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F. Ayudhita

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Diketahui dan . kita tentukan terlebih dahulu fungsi komposisinya: kemudian kita cari inversnya: Nilai jadi, jawabannya E

Diketahui dan .

kita tentukan terlebih dahulu fungsi komposisinya:

undefined

                begin mathsize 14px style equals f open parentheses 3 x minus 1 third close parentheses equals 2 open parentheses 3 x minus 1 third close parentheses plus 1 fourth equals 6 x minus 2 over 3 plus 1 fourth equals 6 x minus 5 over 12 end style

size 14px left parenthesis size 14px f size 14px ring operator size 14px g size 14px right parenthesis size 14px left parenthesis size 14px 0 size 14px right parenthesis size 14px equals size 14px minus size 14px 5 over size 14px 12 

kemudian kita cari inversnya:

size 14px y size 14px equals size 14px 6 size 14px x size 14px minus size 14px 5 over size 14px 12 size 14px 12 size 14px y size 14px equals size 14px 72 size 14px x size 14px minus size 14px 5 size 14px 12 size 14px y size 14px plus size 14px 5 size 14px equals size 14px 72 size 14px x fraction numerator size 14px 12 size 14px y size 14px plus size 14px 5 over denominator size 14px 72 end fraction size 14px equals size 14px x size 14px left parenthesis size 14px f size 14px ring operator size 14px g size 14px right parenthesis to the power of size 14px minus size 14px 1 end exponent size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals fraction numerator size 14px 12 size 14px x size 14px plus size 14px 5 over denominator size 14px 72 end fraction size 14px left parenthesis size 14px f size 14px ring operator size 14px g size 14px right parenthesis to the power of size 14px minus size 14px 1 end exponent size 14px left parenthesis size 14px 0 size 14px right parenthesis size 14px equals fraction numerator size 14px 0 size 14px plus size 14px 5 over denominator size 14px 72 end fraction size 14px equals size 14px 5 over size 14px 72

Nilai  begin mathsize 14px style negative 5 over 12 plus 5 over 72 equals fraction numerator negative 30 plus 5 over denominator 72 end fraction equals fraction numerator negative 25 over denominator 72 end fraction end style

jadi, jawabannya E

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Diketahui f ( x ) = 3 x − 2 dan g ( x ) = x + 4 3 ​ , x  = − 4 , fungsi ( g ∘ f ) − 1 ( x + 3 ) = ...

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