Pertanyaan

Jika f ( 2 1 x − 2 ) = 4 x − 8 dan f ( − 1 ) = 1 maka f ( 1 ) = ...

Jika $f (\frac{1}{2} x - 2) = 4 x - 8$ dan $f (- 1) = 1$ maka $f (1) = ...$

-12
-4
5
15
17

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Jawaban terverifikasi

Pembahasan

Cari nilai c dari Maka nilai dari

Cari nilai c dari

$1 half x minus 2 equals negative 1 rightwards arrow 1 half x equals 1 rightwards arrow x equals 2 comma space maka f open parentheses fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction x minus 2 close parentheses equals x squared minus 4 x plus c f open parentheses fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction open parentheses 2 close parentheses minus 2 close parentheses equals open parentheses 2 close parentheses squared minus 4 open parentheses 2 close parentheses plus c f open parentheses negative 1 close parentheses equals 4 minus 8 plus c 1 equals negative 4 plus c 5 equals c$

Maka nilai dari

$fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction x minus 2 equals 1 rightwards arrow fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction x equals 3 rightwards arrow x equals 6 f open parentheses fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction x minus 2 close parentheses equals x squared minus 4 x plus c f open parentheses fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction open parentheses 6 close parentheses minus 2 close parentheses equals left parenthesis 6 right parenthesis squared minus 4 open parentheses 6 close parentheses plus 5 f open parentheses 1 close parentheses equals 36 minus 24 plus 5 f open parentheses 1 close parentheses equals 17$