Diketahui:  f(x)g(x)​==​x2+4x−52x+3​  Tentukan: b. x→−4lim​6f(x)−5g(x)

Pertanyaan

Diketahui: 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell x squared plus 4 x minus 5 end cell row cell g left parenthesis x right parenthesis end cell equals cell 2 x plus 3 end cell end table end style 

Tentukan:

b. begin mathsize 14px style limit as x rightwards arrow negative 4 of 6 f left parenthesis x right parenthesis minus 5 g left parenthesis x right parenthesis end style 

A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style limit as x rightwards arrow thin space minus 4 of left parenthesis 6 f left parenthesis x right parenthesis minus 5 g left parenthesis x right parenthesis right parenthesis equals negative 5 end style.

Pembahasan

Dengan mensubstitusikan nilai begin mathsize 14px style x equals negative 4 end style, didapat:

begin mathsize 14px style limit as x rightwards arrow thin space minus 4 of open parentheses 6 open parentheses x squared plus 4 x minus 5 close parentheses minus 5 open parentheses 2 x plus 3 close parentheses close parentheses equals 6 open parentheses open parentheses negative 4 close parentheses squared plus 4 open parentheses negative 4 close parentheses minus 5 close parentheses minus 5 open parentheses 2 open parentheses negative 4 close parentheses plus 3 close parentheses equals 6 open parentheses negative 5 close parentheses minus 5 open parentheses negative 5 close parentheses equals negative 30 plus 25 equals negative 5 end style 

Jadi, begin mathsize 14px style limit as x rightwards arrow thin space minus 4 of left parenthesis 6 f left parenthesis x right parenthesis minus 5 g left parenthesis x right parenthesis right parenthesis equals negative 5 end style.

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