Pertanyaan

Diketahui f ( x ) = x + 7 g ( x ) = 5 x − 8 h ( x ) = x + 3 2 x − 1 Tentukan ( h ∘ f ) ( x ) ...

Diketahui $f (x) = x + 7 g (x) = 5 x - 8 h (x) = \frac{2 x - 1}{x + 3}$ Tentukan $(h \circ f) (x)$ $...$

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Jawaban terverifikasi

Pembahasan

Diketahui : Ditanya : Jawab :

Diketahui :

$begin mathsize 14px style f left parenthesis x right parenthesis equals x plus 7 h left parenthesis x right parenthesis equals fraction numerator 2 x minus 1 over denominator x plus 3 end fraction end style$

Ditanya :

Jawab :

$begin mathsize 14px style left parenthesis h ring operator f right parenthesis left parenthesis x right parenthesis equals h left parenthesis f left parenthesis x right parenthesis right parenthesis left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals h left parenthesis x plus 7 right parenthesis left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator 2 left parenthesis x plus 7 right parenthesis minus 1 over denominator left parenthesis x plus 7 right parenthesis plus 3 end fraction left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator 2 x plus 14 minus 1 over denominator x plus 10 end fraction left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator 2 x plus 13 over denominator x plus 10 end fraction end style$