Jika maka nilai k yang tepat adalah ….

Pertanyaan

Jika $begin mathsize 14px style open parentheses x close parentheses equals fraction numerator 1 over denominator square root of x squared minus sign 2 end root end fraction comma space open parentheses fog close parentheses open parentheses x close parentheses equals fraction numerator 1 over denominator square root of x squared plus 6 x plus 7 end root end fraction space dan space g open parentheses x and k close parentheses equals x plus 5 end style$ maka nilai k yang tepat adalah ….

2
-2
-4
-6
5

M. Robo

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis fog right parenthesis left parenthesis straight x right parenthesis end cell equals cell fraction numerator 1 over denominator square root of straight x squared plus 6 straight x plus 7 end root end fraction end cell row cell straight f left parenthesis straight g left parenthesis straight x right parenthesis right parenthesis end cell equals cell fraction numerator 1 over denominator square root of straight x squared plus 6 straight x plus 7 end root end fraction end cell row cell fraction numerator 1 over denominator square root of straight g left parenthesis straight x right parenthesis squared minus 2 end root end fraction end cell equals cell fraction numerator 1 over denominator square root of straight x squared plus 6 straight x plus 7 end root end fraction end cell row cell straight g left parenthesis straight x right parenthesis squared minus 2 end cell equals cell straight x squared plus 6 straight x plus 7 end cell row cell straight g left parenthesis straight x right parenthesis end cell equals cell square root of straight x squared plus 6 straight x plus 9 end root end cell end table end style$

Karena maka:

Ambil salah satu persamaan :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 10 straight x end cell equals cell left parenthesis 2 straight k plus 6 right parenthesis straight x end cell row 10 equals cell 2 straight k plus 6 end cell row 4 equals cell 2 straight k end cell row 2 equals straight k end table end style