Roboguru

Diberikan fungsi dimana Nilai yang membuat ada adalah ...

Diberikan fungsi begin mathsize 14px style g colon straight real numbers rightwards arrow straight real numbers end style dimana

begin mathsize 14px style g left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell t x minus 135 comma space x less or equal than negative 9 end cell row cell 3 t x plus 9 comma space space space x greater than negative 9 end cell end table close end style 

Nilai begin mathsize 14px style t end style yang membuat begin mathsize 14px style limit as x rightwards arrow negative 9 of g left parenthesis x right parenthesis end style ada adalah ...

  1. ...space 

  2. ...space 

Jawaban:

Untuk menjawab soal tersebut dapat menggunakan konsep limit kanan dan limit kiri sebagai berikut:

begin mathsize 14px style limit as x rightwards arrow negative 9 of g left parenthesis x right parenthesis end style ada jika:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 9 to the power of minus of g left parenthesis x right parenthesis end cell equals cell limit as x rightwards arrow 9 to the power of plus of g left parenthesis x right parenthesis end cell row cell limit as x rightwards arrow 9 to the power of minus of open parentheses t x minus 135 close parentheses end cell equals cell limit as x rightwards arrow 9 to the power of plus of open parentheses 3 t x plus 9 close parentheses end cell row cell negative 9 t minus 135 end cell equals cell negative 27 t plus 9 end cell row cell t plus 15 end cell equals cell 3 t minus 1 end cell row cell 2 t end cell equals 16 row t equals 8 end table end style 

Nilai begin mathsize 14px style t end style yang membuat begin mathsize 14px style limit as x rightwards arrow negative 9 of g left parenthesis x right parenthesis end style ada adalah 8.

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