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Jika diketahui fungsi f ( x ) = 3 x − 8 , g ( x ) = x 2 + 6 , d an ( f ∘ g ∘ h ) ( x ) = 15 x + 7 , maka h ( x ) =...

Jika diketahui fungsi $f (x) = 3 x - 8, g (x) = x^{2} + 6, d an (f \circ g \circ h) (x) = 15 x + 7, maka h (x)$ =...

S. Nur

Master Teacher

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$f left parenthesis x right parenthesis equals 3 x minus 8 g left parenthesis x right parenthesis equals x squared plus 6 left parenthesis f ring operator g ring operator h right parenthesis left parenthesis x right parenthesis equals 15 x plus 7 left parenthesis f left parenthesis g ring operator h right parenthesis left parenthesis x right parenthesis equals 15 x plus 7 3 left parenthesis left parenthesis g ring operator h right parenthesis left parenthesis x right parenthesis minus 8 equals 15 x plus 15 3 left parenthesis left parenthesis g ring operator h right parenthesis left parenthesis x right parenthesis equals 15 x plus 15 left parenthesis g ring operator h right parenthesis left parenthesis x right parenthesis equals fraction numerator 15 x plus 15 over denominator 3 end fraction left parenthesis g ring operator h right parenthesis left parenthesis x right parenthesis equals 5 x plus 5 g left parenthesis h left parenthesis x right parenthesis right parenthesis equals 5 x plus 5 left parenthesis h left parenthesis x right parenthesis right parenthesis squared plus 6 equals 5 x plus 5 left parenthesis h left parenthesis x right parenthesis right parenthesis squared equals 5 x minus 1 h left parenthesis x right parenthesis equals square root of 5 x minus 1 end root$

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