Pertanyaan

a. Jika f ( x ) = 4 x + 1 , tentukan f ( 2 ) .

a. Jika $f (x) = 4 x + 1$ , tentukan $f (2)$ .

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Habis dalam

Klaim

E. Nur

Master Teacher

Mahasiswa/Alumni Institut Teknologi Sepuluh Nopember

Jawaban terverifikasi

Jawaban

nilai dari .

nilai dari

table attributes columnalign right center left columnspacing 0px end attributes row blank blank f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank apostrophe end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 2 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 cell 2 over 3 end cell end table

Pembahasan

Ingat! Jika maka Perhatikan Maka Sehingga Selanjutnya diperoleh Dengan demikian nilai dari .

Ingat!

Jika

f open parentheses x close parentheses equals a times U to the power of n

maka

f apostrophe open parentheses x close parentheses equals a times n times U to the power of n minus 1 end exponent times U apostrophe

Perhatikan

f open parentheses x close parentheses equals square root of 4 x plus 1 end root equals open parentheses 4 x plus 1 close parentheses to the power of 1 half end exponent

Maka

table attributes columnalign right center left columnspacing 0px end attributes row a equals 1 row n equals cell 1 half end cell row U equals cell 4 x plus 1 end cell row cell U apostrophe end cell equals 4 end table

Sehingga

$table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe open parentheses x close parentheses end cell equals cell a times n times U to the power of n minus 1 end exponent times U apostrophe end cell row blank equals cell 1 times 1 half times open parentheses 4 x plus 1 close parentheses to the power of 1 half minus 1 end exponent times open parentheses 4 close parentheses end cell row blank equals cell 4 times 1 times 1 half times open parentheses 4 x plus 1 close parentheses to the power of negative 1 half end exponent end cell row blank equals cell 2 times open parentheses 4 x plus 1 close parentheses to the power of negative 1 half end exponent end cell row blank equals cell 2 over open parentheses 4 x plus 1 close parentheses to the power of 1 half end exponent end cell row blank equals cell fraction numerator 2 over denominator square root of 4 x plus 1 end root end fraction end cell end table$

Selanjutnya diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe open parentheses x close parentheses end cell equals cell fraction numerator 2 over denominator square root of 4 x plus 1 end root end fraction end cell row cell f apostrophe open parentheses 2 close parentheses end cell equals cell fraction numerator 2 over denominator square root of 4 open parentheses 2 close parentheses plus 1 end root end fraction end cell row blank equals cell fraction numerator 2 over denominator square root of 8 plus 1 end root end fraction end cell row blank equals cell fraction numerator 2 over denominator square root of 9 end fraction end cell row blank equals cell 2 over 3 end cell end table$

Dengan demikian nilai dari .