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Diketahui f ( x ) = 3 x + 4 , g ( x ) = x 3 ​ , dan . Jika , maka k = ...

Diketahui  dan begin mathsize 14px style straight h open parentheses straight x close parentheses equals log presubscript straight presuperscript straight x invisible function application 2 end style. Jika begin mathsize 14px style open parentheses straight f ring operator straight g ring operator straight h close parentheses open parentheses straight k close parentheses equals 13 end style, maka k = ...

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Diketahui , maka Dari bentuk di atas, maka bisa kita dapatkan bahwa k = 2 .

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses straight f ring operator straight g ring operator straight h close parentheses open parentheses straight x close parentheses end cell equals cell straight f open parentheses straight g open parentheses straight h open parentheses straight x close parentheses close parentheses close parentheses end cell row blank equals cell straight f open parentheses straight g open parentheses log presubscript straight presuperscript straight x invisible function application 2 close parentheses close parentheses end cell row blank equals cell straight f open parentheses fraction numerator 3 over denominator log presubscript straight presuperscript straight x invisible function application 2 end fraction close parentheses end cell row blank equals cell straight f open parentheses 3 space. space log presubscript straight presuperscript 2 invisible function application straight x close parentheses end cell row blank equals cell straight f open parentheses log presubscript straight presuperscript 2 invisible function application straight x cubed close parentheses end cell row blank equals cell 3 open parentheses log presubscript straight presuperscript 2 invisible function application straight x cubed close parentheses plus 4 end cell row blank equals cell log presubscript straight presuperscript 2 invisible function application open parentheses straight x cubed close parentheses cubed plus 4 end cell row blank equals cell log presubscript straight presuperscript 2 invisible function application straight x to the power of 9 plus 4 end cell end table end style 

Diketahui undefined, maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses straight f ring operator straight g ring operator straight h close parentheses open parentheses straight k close parentheses end cell equals 13 row cell log presubscript straight presuperscript 2 invisible function application straight k to the power of 9 plus 4 end cell equals 13 row cell log presubscript straight presuperscript 2 invisible function application straight k to the power of 9 end cell equals cell 13 minus 4 end cell row cell log presubscript straight presuperscript 2 invisible function application straight k to the power of 9 end cell equals 9 row cell straight k to the power of 9 end cell equals cell 2 to the power of 9 end cell end table end style 

Dari bentuk di atas, maka bisa kita dapatkan bahwa k = 2.

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Diketahui h ( x ) = 2 x − 4 , f ( x ) = x 2 − 4 ,dan ( h ∘ g ∘ f ) ( x ) = x 2 . Jika g ( 2 k + 10 ) = k 2 − 2 k − 1 , maka nilai k yang memenuhi adalah ....

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