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Diketahui , tentukan nilai dari

Pertanyaan

Diketahui begin mathsize 14px style f open parentheses x close parentheses equals 2 x squared plus 8 end style, tentukan nilai dari begin mathsize 14px style f to the power of negative 1 end exponent open parentheses 18 close parentheses equals... end style 

Pembahasan Soal:

begin mathsize 14px style misal space a equals 2 x squared plus 8 space space space space space a minus 8 equals 2 x squared space space space space space space space space space x squared equals fraction numerator a minus 8 over denominator 2 end fraction space space space space space space space space space space x equals plus-or-minus square root of fraction numerator a minus 8 over denominator 2 end fraction end root end style                                 begin mathsize 14px style m a k a space f to the power of negative 1 end exponent open parentheses x close parentheses equals plus-or-minus square root of fraction numerator x minus 8 over denominator 2 end fraction end root f to the power of negative 1 end exponent left parenthesis 18 right parenthesis equals plus-or-minus square root of fraction numerator 18 minus 8 over denominator 2 end fraction end root space space space space space space space space space space space space equals plus-or-minus square root of 5 end style

Jadi, begin mathsize 14px style f to the power of negative 1 end exponent open parentheses 18 close parentheses equals plus-or-minus square root of 5 end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 02 April 2021

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