Pertanyaan

Jika f ( x ) = x + 3 x + 1 dan g(x) = 2x + 1, maka nilai (fog) -1 (2) =….

Jika $f (x) = \frac{x + 1}{x + 3}$ dan g(x) = 2x+ 1, maka nilai (fog)^-1 (2) =….

–7
–5
–3
–1
0

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Klaim

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$open parentheses f ring operator g close parentheses open parentheses x close parentheses equals f open parentheses g open parentheses x close parentheses close parentheses equals fraction numerator open parentheses 2 x plus 1 close parentheses plus 1 over denominator open parentheses 2 x plus 1 close parentheses plus 3 end fraction equals fraction numerator 2 x plus 2 over denominator 2 x plus 4 end fraction rightwards double arrow open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses x close parentheses equals fraction numerator negative 4 x plus 2 over denominator 2 x minus 2 end fraction rightwards double arrow open parentheses f ring operator g close parentheses to the power of negative 1 end exponent open parentheses 2 close parentheses equals fraction numerator negative 4.2 plus 2 over denominator 2.2 minus 2 end fraction equals fraction numerator negative 6 over denominator 2 end fraction equals negative 3$