Pertanyaan

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

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

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

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D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$f left parenthesis x right parenthesis equals square root of x squared plus 1 end root space d a n left parenthesis f o g right parenthesis left parenthesis x right parenthesis equals fraction numerator 1 over denominator x plus 1 end fraction square root of x squared minus 4 x plus 5 end root left parenthesis f o g right parenthesis left parenthesis x right parenthesis equals f left parenthesis g left parenthesis x right parenthesis right parenthesis m i s a l space g left parenthesis x right parenthesis space equals space a comma space m a k a colon f space left parenthesis g left parenthesis x right parenthesis right parenthesis equals left parenthesis f o g right parenthesis left parenthesis x right parenthesis square root of a squared plus 1 end root equals fraction numerator 1 over denominator x minus 2 end fraction square root of x squared minus 4 x plus 5 end root a squared plus 1 equals fraction numerator x squared minus 4 x plus 5 over denominator left parenthesis x minus 2 right parenthesis squared end fraction a squared equals fraction numerator x squared minus 4 x plus 5 over denominator left parenthesis x minus 2 right parenthesis squared end fraction minus 1 a squared equals fraction numerator x squared minus 4 x plus 5 minus left parenthesis x squared minus 4 x plus 5 right parenthesis over denominator left parenthesis x minus 2 right parenthesis squared end fraction a squared equals fraction numerator 1 over denominator left parenthesis x minus 2 right parenthesis squared end fraction a equals fraction numerator 1 over denominator x minus 2 end fraction m a k a colon g left parenthesis x right parenthesis equals fraction numerator 1 over denominator x minus 2 end fraction g left parenthesis x minus 3 right parenthesis equals fraction numerator 1 over denominator x minus 3 minus 2 end fraction g left parenthesis x minus 3 right parenthesis equals fraction numerator 1 over denominator x minus 5 end fraction$

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