Pertanyaan

Misal f ( x ) = ( 4 1 ) x dan g ( x ) = 2 x , maka ( f ∘ g ) ( − 2 ) = ....

Misal $f (x) = (\frac{1}{4})^{x}$ dan $g (x) = 2^{x}$ , maka $(f \circ g) (- 2) =$ ....

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

Diketahui: Ditanya: ? Jawab: , maka Jadi, dan , maka . Jadi, jawaban yang tepat adalah D.

Diketahui:

f left parenthesis x right parenthesis equals open parentheses 1 fourth close parentheses to the power of x

g left parenthesis x right parenthesis equals 2 to the power of x

Ditanya:

left parenthesis f ring operator g right parenthesis open parentheses negative 2 close parentheses equals ?

Jawab:

open parentheses f ring operator g close parentheses open parentheses x close parentheses equals f open parentheses g open parentheses x close parentheses close parentheses , maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f ring operator g right parenthesis open parentheses negative 2 close parentheses end cell equals cell f open parentheses g open parentheses negative 2 close parentheses close parentheses end cell row blank equals cell f open parentheses 2 to the power of negative 2 end exponent close parentheses end cell row blank equals cell f open parentheses 1 over 2 squared close parentheses end cell row blank equals cell f open parentheses 1 fourth close parentheses end cell row blank equals cell open parentheses 1 fourth close parentheses to the power of 1 fourth end exponent end cell row blank equals cell open parentheses open parentheses 1 half close parentheses squared close parentheses to the power of 1 fourth end exponent end cell row blank equals cell open parentheses 1 half close parentheses to the power of 2 times 1 fourth end exponent end cell row blank equals cell open parentheses 1 half close parentheses to the power of 1 half end exponent end cell row blank equals cell square root of 1 half end root end cell row blank equals cell fraction numerator square root of 1 over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator 1 over denominator square root of 2 end fraction times fraction numerator square root of 2 over denominator square root of 2 end fraction end cell row blank equals cell 1 half square root of 2 end cell row blank blank blank end table$

Jadi, f left parenthesis x right parenthesis equals open parentheses 1 fourth close parentheses to the power of x dan g left parenthesis x right parenthesis equals 2 to the power of x , maka left parenthesis f ring operator g right parenthesis open parentheses negative 2 close parentheses equals 1 half square root of 2 .

Jadi, jawaban yang tepat adalah D.

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