Pertanyaan

Diberikan f ( x ) = x 2 + 2 , g ( x ) = x 1 ; x  = 0 dan h ( x ) = 7 − 3 x . Tentukan ( f ∘ g ) ( x ) .

Diberikan $f (x) = x^{2} + 2$ , $g (x) = \frac{1}{x}$ ; $x \neq = 0$ dan $h (x) = 7 - 3 x$ . Tentukan $(f \circ g) (x)$ .

A. Rizky

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Diberikan , ; dan . Akan dicari . Jadi, diperoleh .

Diberikan , ; dan . Akan dicari .

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

Jadi, diperoleh

$begin mathsize 14px style open parentheses f ring operator g close parentheses left parenthesis x right parenthesis equals fraction numerator 1 plus 2 x squared over denominator x squared end fraction semicolon space x not equal to 0 end style$ .