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Jika ( g o f ) ( x ) = x 2 − 4 x + 7 d an g ( x ) = x 2 + 2 x + 4 . Tentukan f(x)

Jika . Tentukan f(x)

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S. Nur

Master Teacher

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Pembahasan

Diketahui : Ditanya : Penyelesaian jadi,

Diketahui :

left parenthesis g space o space f right parenthesis left parenthesis x right parenthesis space equals x squared space minus 4 x space plus 7 space d a n space g left parenthesis x right parenthesis space equals x squared plus 2 x plus 4

Ditanya :

straight f left parenthesis straight x right parenthesis

Penyelesaian

table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis straight g space straight o space straight f right parenthesis left parenthesis straight x right parenthesis space end cell equals cell straight x squared space minus 4 straight x space plus 7 space end cell row cell gf open parentheses straight x close parentheses end cell equals cell straight x squared space minus 4 straight x space plus 7 space end cell row cell straight f open parentheses straight x close parentheses squared plus 2 straight f open parentheses straight x close parentheses plus 4 end cell equals cell straight x squared space minus 4 straight x space plus 7 space end cell row cell straight f open parentheses straight x close parentheses squared plus 2 straight f open parentheses straight x close parentheses end cell equals cell straight x squared space minus 4 straight x space plus 7 space minus 4 end cell row cell straight f open parentheses straight x close parentheses squared plus 2 straight f open parentheses straight x close parentheses end cell equals cell straight x squared space minus 4 straight x space plus 3 end cell row cell straight f left parenthesis straight x right parenthesis open parentheses straight f left parenthesis straight x right parenthesis plus 2 close parentheses end cell equals cell open parentheses straight x minus 1 close parentheses open parentheses straight x minus 3 close parentheses end cell row cell maka space straight f open parentheses straight x close parentheses end cell equals cell straight x minus 1 space end cell end table

jadi, straight f left parenthesis straight x right parenthesis space equals space x space minus 1

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