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Fungsi f ( x ) ditentukan oleh f ( x ) = 4 − 3 x 4 x + 3 ​ , x  = 3 4 ​ . Jika f − 1 ( x ) adalah invers dari , rumus f − 1 ( x − 2 x − 1 ​ ) adalah ....

Fungsi  ditentukan oleh . Jika  adalah invers dari begin mathsize 14px style f left parenthesis x right parenthesis end style, rumus  adalah ....

  1. fraction numerator size 14px x size 14px minus size 14px 7 over denominator size 14px 2 size 14px x size 14px minus size 14px 11 end fraction 

  2. fraction numerator size 14px x size 14px minus size 14px 7 over denominator size 14px 2 size 14px x size 14px plus size 14px 11 end fraction 

  3. fraction numerator size 14px 7 size 14px minus size 14px x over denominator size 14px 2 size 14px x size 14px minus size 14px 11 end fraction 

  4. fraction numerator size 14px 7 size 14px minus size 14px x over denominator size 14px 2 size 14px x size 14px plus size 14px 11 end fraction 

  5. fraction numerator size 14px 7 size 14px minus size 14px x over denominator size 14px 11 size 14px minus size 14px 2 size 14px x end fraction 

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F. Ayudhita

Master Teacher

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, maka , maka Jadi, tidak ada pilihan yang tepat

begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator a x plus b over denominator c x plus d end fraction end style,    maka  begin mathsize 14px style space f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator negative d x plus b over denominator c x minus a end fraction end style

begin mathsize 14px style f left parenthesis x right parenthesis equals fraction numerator 4 x plus 3 over denominator negative 3 x plus 4 end fraction end style, maka  begin mathsize 14px style f to the power of negative 1 end exponent left parenthesis x right parenthesis equals fraction numerator negative 4 x plus 3 over denominator negative 3 x minus 4 end fraction end style

begin mathsize 14px style f to the power of negative 1 end exponent space open parentheses fraction numerator x minus 1 over denominator x minus 2 end fraction close parentheses space equals space fraction numerator negative 4 space open parentheses fraction numerator x minus 1 over denominator x minus 2 end fraction close parentheses space space plus 3 over denominator negative 3 space open parentheses begin display style fraction numerator x minus 1 over denominator x minus 2 end fraction end style close parentheses space space minus 4 end fraction space space end style

  begin mathsize 14px style space space equals fraction numerator begin display style fraction numerator negative 4 x plus 4 plus 3 left parenthesis x minus 2 right parenthesis over denominator x minus 2 end fraction end style over denominator begin display style fraction numerator negative 3 x plus 3 minus 4 left parenthesis x minus 2 right parenthesis over denominator x minus 2 space end fraction end style end fraction space space space end style

equals fraction numerator begin mathsize 14px display style fraction numerator negative 4 x plus 4 plus 3 x minus 6 over denominator x minus 2 end fraction end style over denominator begin mathsize 14px display style fraction numerator negative 3 x plus 3 minus 4 x plus 8 over denominator x minus 2 end fraction end style end fraction   

begin mathsize 14px style equals fraction numerator negative left parenthesis x plus 2 right parenthesis over denominator negative left parenthesis 7 x minus 11 right parenthesis end fraction end style

           

begin mathsize 14px style f to the power of negative 1 end exponent open parentheses fraction numerator space x minus 1 over denominator space x minus 2 end fraction close parentheses end style begin mathsize 14px style equals fraction numerator x plus 2 over denominator 7 x minus 11 end fraction end style

Jadi, tidak ada pilihan yang tepat

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Asri Amanda

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Invers dari f ( x ) = ( 5 x − 8 3 x − 2 ​ ) dengan x  = 5 8 ​ adalah...

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