Roboguru

Grafik fungsi  digeser ke kanan  satuan, lalu digeser ke atas  satuan menghasilkan grafik fungsi . Tentukan nilai .

Pertanyaan

Grafik fungsi f open parentheses x close parentheses equals 4 open parentheses 1 third close parentheses to the power of x digeser ke kanan 1 satuan, lalu digeser ke atas 3 satuan menghasilkan grafik fungsi h open parentheses x close parentheses. Tentukan nilai h open parentheses negative 1 close parentheses minus h open parentheses 1 close parentheses.

Pembahasan Soal:

Ingat kembali:

A open parentheses x comma space y close parentheses space rightwards arrow with T open square brackets table row a row b end table close square brackets on top space A apostrophe open parentheses x plus a comma space y plus b close parentheses 

Diketahui:

f open parentheses x close parentheses equals 4 open parentheses 1 third close parentheses to the power of x space rightwards arrow with T open square brackets table row 1 row 3 end table close square brackets on top space h open parentheses x close parentheses 

maka:

A open parentheses x comma space y close parentheses space rightwards arrow with T open square brackets table row 1 row 3 end table close square brackets on top space A apostrophe open parentheses x plus 1 comma space y plus 3 close parentheses 

Sehingga:

table attributes columnalign right center left columnspacing 0px end attributes row cell x apostrophe end cell equals cell x plus 1 end cell row cell x apostrophe minus 1 end cell equals x row x equals cell x apostrophe minus 1 end cell end table  dan  table attributes columnalign right center left columnspacing 0px end attributes row cell y apostrophe end cell equals cell y plus 3 end cell row cell y apostrophe minus 3 end cell equals y row y equals cell y apostrophe minus 3 end cell end table 

Oleh karena itu:

table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell 4 open parentheses 1 third close parentheses to the power of x end cell row y equals cell 4 open parentheses 1 third close parentheses to the power of x end cell row cell y apostrophe minus 3 end cell equals cell 4 open parentheses 1 third close parentheses to the power of x apostrophe minus 1 end exponent end cell row cell y apostrophe minus 3 end cell equals cell 4 times open parentheses 1 third close parentheses to the power of x apostrophe end exponent times open parentheses 1 third close parentheses to the power of negative 1 end exponent end cell row cell y apostrophe minus 3 end cell equals cell 4 times open parentheses 1 third close parentheses to the power of x apostrophe end exponent times 3 end cell row cell y apostrophe minus 3 end cell equals cell 12 times open parentheses 1 third close parentheses to the power of x apostrophe end exponent end cell row cell y apostrophe end cell equals cell 12 times open parentheses 1 third close parentheses to the power of x apostrophe end exponent plus 3 end cell row y equals cell 12 times open parentheses 1 third close parentheses to the power of x plus 3 end cell end table 

Dengan demikian didapat Error converting from MathML to accessible text.. Maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell h open parentheses negative 1 close parentheses minus h open parentheses 1 close parentheses end cell equals cell open square brackets 12 times open parentheses 1 third close parentheses to the power of negative 1 end exponent plus 3 close square brackets minus open square brackets 12 times open parentheses 1 third close parentheses to the power of 1 plus 3 close square brackets end cell row blank equals cell open square brackets 12 times 3 plus 3 close square brackets minus open square brackets 12 times open parentheses 1 third close parentheses plus 3 close square brackets end cell row blank equals cell open parentheses 36 plus 3 close parentheses minus open parentheses 4 plus 3 close parentheses end cell row blank equals cell 39 minus 12 end cell row blank equals 27 end table 

Jadi, nilai table attributes columnalign right center left columnspacing 0px end attributes row blank blank h end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses negative 1 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank h end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 1 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 27 end table.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Juli 2021

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