Pertanyaan

Jika diketahui fungsi f ( x ) = 3 x + 5 2 x − 1 d an g ( x ) = 47 x − 7 , maka ni l ai d a r i ( f ∘ g ) ( 2 ) = ...

Jika diketahui fungsi $f (x) = \frac{2 x - 1}{3 x + 5} d an g (x) = 47 x - 7, maka ni l ai d a r i (f \circ g) (2)$ = ...

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Penyelesaian:

$left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals f left parenthesis g left parenthesis x right parenthesis right parenthesis equals f left parenthesis 4 x minus 7 right parenthesis equals fraction numerator 2 left parenthesis 4 x minus 7 right parenthesis plus 1 over denominator 3 left parenthesis 3 x minus 7 right parenthesis plus 5 end fraction equals fraction numerator 8 x minus 14 minus 1 over denominator 12 x minus 21 plus 5 end fraction equals fraction numerator 8 x minus 15 over denominator 12 x minus 16 end fraction left parenthesis f ring operator g right parenthesis left parenthesis 2 right parenthesis equals fraction numerator 8 left parenthesis 2 right parenthesis minus 15 over denominator 12 left parenthesis 2 right parenthesis minus 16 end fraction equals fraction numerator 16 minus 15 over denominator 24 minus 16 end fraction equals 1 over 8$