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Jika fungsi  dan  didefinisikan dengan  dan , tent...

Jika fungsi begin mathsize 14px style f colon straight real numbers rightwards arrow straight real numbers end style dan Error converting from MathML to accessible text. didefinisikan dengan begin mathsize 14px style f open parentheses x close parentheses equals 4 x plus 8 end style dan begin mathsize 14px style g open parentheses x close parentheses equals 2 x minus 2 end style, tentukan:

e. begin mathsize 14px style open parentheses f ring operator f close parentheses to the power of negative 1 end exponent open parentheses negative 2 close parentheses end style 

Jawaban:

Dengan menerapkan sifat invers fungsi komposisi begin mathsize 14px style open parentheses f ring operator f to the power of negative 1 end exponent close parentheses open parentheses x close parentheses equals x end style, diperoleh:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator f to the power of negative 1 end exponent close parentheses open parentheses x close parentheses end cell equals x row cell open parentheses f ring operator f to the power of negative 1 end exponent close parentheses open parentheses negative 2 close parentheses end cell equals cell negative 2 end cell end table end style 

Jadi, nilai dari begin mathsize 14px style open parentheses f ring operator f close parentheses to the power of negative 1 end exponent open parentheses negative 2 close parentheses end style adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 2 end table.

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