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Diketahui . Jika g(x) = f(1 - x), maka kurva g naik pada...

Diketahui begin mathsize 12px style f open parentheses x close parentheses equals 1 third x cubed plus x squared minus 3 x plus 10 end style. Jika g(x) = f(1 - x), maka kurva g naik pada...

  1. begin mathsize 12px style 0 less or equal than x less or equal than 3 end style

  2. begin mathsize 12px style negative 1 less or equal than x less or equal than 3 end style

  3. begin mathsize 12px style negative 3 less or equal than x less or equal than 3 end style

  4. begin mathsize 12px style negative 3 less or equal than x less or equal than 1 end style

  5. begin mathsize 12px style negative 4 less or equal than x less or equal than 0 end style

Jawaban:

Diketahui begin mathsize 12px style f open parentheses x close parentheses equals 1 third x cubed plus x squared minus 3 x plus 10 end style. Jika g(x) = f(1 - x), maka:

begin mathsize 12px style g left parenthesis x right parenthesis equals 1 third open parentheses 1 minus x close parentheses cubed plus open parentheses 1 minus x close parentheses squared minus 3 open parentheses 1 minus x close parentheses plus 10  g left parenthesis x right parenthesis equals 1 third open parentheses 1 minus x close parentheses cubed plus open parentheses 1 minus x close parentheses squared plus 3 x plus 7 end style

kurva naik, maka:

size 12px g size 12px apostrophe open parentheses size 12px x close parentheses size 12px greater than size 12px 0  size 12px g size 12px apostrophe open parentheses size 12px x close parentheses size 12px equals size 12px minus size 12px 1 open parentheses size 12px 1 size 12px minus size 12px x close parentheses to the power of size 12px 2 size 12px minus size 12px 2 open parentheses size 12px 1 size 12px minus size 12px x close parentheses size 12px plus size 12px 3  size 12px minus open parentheses size 12px 1 size 12px minus size 12px 2 size 12px x size 12px plus size 12px x to the power of size 12px 2 close parentheses size 12px minus size 12px 2 size 12px plus size 12px 2 size 12px x size 12px plus size 12px 3 size 12px greater than size 12px 0  size 12px minus size 12px 1 size 12px plus size 12px 2 size 12px x size 12px minus size 12px x to the power of size 12px 2 size 12px plus size 12px 2 size 12px x size 12px plus size 12px 1 size 12px greater than size 12px 0  size 12px minus size 12px x to the power of size 12px 2 size 12px plus size 12px 4 size 12px x size 12px greater than size 12px 0  size 12px minus size 12px x open parentheses size 12px x size 12px minus size 12px 4 close parentheses size 12px greater than size 12px 0

Dengan menggunakan garis bilangan

Sehingga g(x) akan naik pada selang 0 < x < 4

Jawaban yang mendekati yaitu pilihan A. begin mathsize 12px style 0 less or equal than x less or equal than 3 end style

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