Pertanyaan

Diketahui f ( x ) = x 2 − 2 1 dan ( f ∘ g ) ( x ) = x 2 + 6 x + 7 1 . Tentukan fungsi g ( x + 2 ) .

Diketahui $f (x) = \frac{1}{x ^{2} - 2}$ dan $(f \circ g) (x) = \frac{1}{x ^{2} + 6 x + 7}$ . Tentukan fungsi $g (x + 2)$ .

P. Data

Master Teacher

Jawaban terverifikasi

Pembahasan

Jadi, dapat ditentukan

$begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses equals f open parentheses g open parentheses x close parentheses close parentheses fraction numerator 1 over denominator square root of open parentheses g open parentheses x close parentheses close parentheses squared minus 2 end root end fraction equals fraction numerator 1 over denominator square root of x squared plus 6 x plus 7 end root end fraction square root of open parentheses g open parentheses x close parentheses close parentheses squared minus 2 end root equals square root of x squared plus 6 x plus 7 end root open parentheses g open parentheses x close parentheses close parentheses squared minus 2 equals x squared plus 6 x plus 7 open parentheses g open parentheses x close parentheses close parentheses squared equals x squared plus 6 x plus 9 open parentheses g open parentheses x close parentheses close parentheses squared equals open parentheses x plus 3 close parentheses squared g open parentheses x close parentheses equals x plus 3 end style$

Jadi, dapat ditentukan