Pertanyaan

Diketahui f ( x ) = 2 x + 3 , g ( x ) = x + 1 2 , x  = − 1 , dan h ( x ) = 3 x + 2 . Tentukan nilai ( h f × g ) ( 2 ) .

Diketahui $f (x) = 2 x + 3$ , $g (x) = \frac{2}{x + 1}$ , $x \neq = - 1$ , dan $h (x) = 3 x + 2$ . Tentukan nilai $(\frac{f}{h} \times g) (2)$ .

R. Novianto

Master Teacher

Mahasiswa/Alumni Universitas Tanjungpura Pontianak

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Pembahasan

Diketahui , , , dan . Maka nilai

Diketahui , $size 14px g size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals fraction numerator size 14px 2 over denominator size 14px x size 14px plus size 14px 1 end fraction$ ,, dan . Maka nilai

$begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell open parentheses f over h cross times g close parentheses open parentheses x close parentheses end cell equals cell fraction numerator f open parentheses x close parentheses over denominator h open parentheses x close parentheses end fraction times g open parentheses x close parentheses end cell row cell open parentheses f over h cross times g close parentheses open parentheses x close parentheses end cell equals cell fraction numerator 2 x plus 3 over denominator 3 x plus 2 end fraction times fraction numerator 2 over denominator x plus 1 end fraction end cell row cell table attributes columnalign right columnspacing 2px end attributes row cell open parentheses f over h cross times g close parentheses open parentheses 2 close parentheses end cell end table end cell equals cell fraction numerator f open parentheses 2 close parentheses over denominator h open parentheses 2 close parentheses end fraction times g open parentheses 2 close parentheses end cell row cell table attributes columnalign right columnspacing 2px end attributes row cell open parentheses f over h cross times g close parentheses open parentheses 2 close parentheses end cell end table end cell equals cell fraction numerator 2 open parentheses 2 close parentheses plus 3 over denominator 3 open parentheses 2 close parentheses plus 2 end fraction times fraction numerator 2 over denominator open parentheses 2 close parentheses plus 1 end fraction end cell row cell table attributes columnalign right columnspacing 2px end attributes row cell open parentheses f over h cross times g close parentheses open parentheses 2 close parentheses end cell end table end cell equals cell fraction numerator 4 plus 3 over denominator 6 plus 2 end fraction times 2 over 3 end cell row cell table attributes columnalign right columnspacing 2px end attributes row cell open parentheses f over h cross times g close parentheses open parentheses 2 close parentheses end cell end table end cell equals cell 7 over 8 times 2 over 3 end cell row cell table attributes columnalign right columnspacing 2px end attributes row cell open parentheses f over h cross times g close parentheses open parentheses 2 close parentheses end cell end table end cell equals cell 14 over 24 end cell row cell table attributes columnalign right columnspacing 2px end attributes row cell open parentheses f over h cross times g close parentheses open parentheses 2 close parentheses end cell end table end cell equals cell 7 over 12 end cell end table end style$

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