Pertanyaan

Jika f ( x ) = x 2 , g ( x ) = 2 x + 1 , dan h ( x ) = x 1 , maka ( h ∘ g ∘ f ) ( x ) = ....

Jika $f (x) = x^{2}$ , $g (x) = 2 x + 1$ , dan $h (x) = \frac{1}{x}$ , maka $(h \circ g \circ f) (x) =$ ....

Y. Umi

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

.

$begin mathsize 14px style open parentheses h ring operator g ring operator f close parentheses open parentheses x close parentheses equals fraction numerator 1 over denominator 2 x squared plus 1 end fraction end style$ .

Pembahasan

, , dan . Diperoleh Jadi, .

, , dan . Diperoleh

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses h ring operator g ring operator f close parentheses open parentheses x close parentheses end cell equals cell h open parentheses g open parentheses f open parentheses x close parentheses close parentheses close parentheses end cell row blank equals cell h open parentheses g open parentheses x squared close parentheses close parentheses end cell row blank equals cell h open parentheses 2 x squared plus 1 close parentheses end cell row blank equals cell fraction numerator 1 over denominator 2 x squared plus 1 end fraction end cell end table end style$

Jadi, $begin mathsize 14px style open parentheses h ring operator g ring operator f close parentheses open parentheses x close parentheses equals fraction numerator 1 over denominator 2 x squared plus 1 end fraction end style$ .