Pertanyaan

J ika f ( x ) = x 2 + 1 d an ( f o g ) = x − 2 1 x 2 − 4 x + 5 maka g ( x − 3 ) a d a l ah ...

$J ika f (x) = x^{2} + 1 d an (f o g) = \frac{1}{x - 2} x^{2} - 4 x + 5 maka g (x - 3) a d a l ah ...$

$fraction numerator 1 over denominator x minus 5 end fraction$
$fraction numerator 1 over denominator x plus 1 end fraction$
$fraction numerator 1 over denominator x minus 3 end fraction$
$fraction numerator 1 over denominator negative x minus 3 end fraction$
$fraction numerator 1 over denominator x plus 3 end fraction$

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$left parenthesis f o g right parenthesis left parenthesis x right parenthesis equals f left parenthesis g left parenthesis x right parenthesis right parenthesis left parenthesis f o g right parenthesis left parenthesis x right parenthesis equals fraction numerator 1 over denominator x minus 2 end fraction square root of x squared minus 4 x plus 5 end root square root of open parentheses g left parenthesis x right parenthesis close parentheses squared plus 1 end root equals fraction numerator 1 over denominator x minus 2 end fraction square root of x squared minus 4 x plus 5 end root open parentheses g left parenthesis x right parenthesis close parentheses squared plus 1 equals fraction numerator x squared minus 4 x plus 5 over denominator left parenthesis x minus 2 right parenthesis squared end fraction open parentheses g left parenthesis x right parenthesis close parentheses squared equals fraction numerator x squared minus 4 x plus 5 over denominator left parenthesis x minus 2 right parenthesis squared end fraction minus 1 open parentheses g left parenthesis x right parenthesis close parentheses squared equals fraction numerator x squared minus 4 x plus 5 minus left parenthesis x minus 2 right parenthesis squared over denominator left parenthesis x minus 2 right parenthesis squared end fraction open parentheses g left parenthesis x right parenthesis close parentheses squared equals fraction numerator x squared minus 4 x plus 5 minus left parenthesis x squared minus 4 x plus 4 right parenthesis over denominator left parenthesis x minus 2 right parenthesis squared end fraction open parentheses g left parenthesis x right parenthesis close parentheses squared equals fraction numerator 1 over denominator left parenthesis x minus 2 right parenthesis squared end fraction g left parenthesis x right parenthesis equals square root of fraction numerator 1 over denominator left parenthesis x minus 2 right parenthesis squared end fraction end root equals fraction numerator 1 over denominator x minus 2 end fraction g left parenthesis x minus 3 right parenthesis equals fraction numerator 1 over denominator x minus 2 end fraction equals fraction numerator 1 over denominator left parenthesis x minus 3 right parenthesis minus 2 end fraction equals fraction numerator 1 over denominator x minus 5 end fraction$

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