Pertanyaan

Diketahui fungsi f ( x ) = 3 x + 6 dan g ( x ) = x 2 + 1 1 dan h ( x ) = f ( x ) ⋅ g ( x ) . Tentukan nilai h ( 1 ) !

Diketahui fungsi $f (x) = 3 x + 6$ dan $g (x) = \frac{1}{x ^{2} + 1}$ dan $h (x) = f (x) \cdot g (x)$ . Tentukan nilai $h (1)$ !

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

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h open parentheses 1 close parentheses equals 3 over 2

Pembahasan

Substitusi nilai ke dan , diperoleh , maka Jadi, .

Substitusi nilai x equals 1 ke f open parentheses x close parentheses dan g open parentheses x close parentheses , diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses 1 close parentheses end cell equals cell square root of 3 open parentheses 1 close parentheses plus 6 end root end cell row blank equals cell square root of 9 end cell row blank equals 3 row blank blank blank row cell g open parentheses 1 close parentheses end cell equals cell fraction numerator 1 over denominator open parentheses 1 close parentheses squared plus 1 end fraction end cell row blank equals cell 1 half end cell end table$

h open parentheses x close parentheses equals f open parentheses x close parentheses times g open parentheses x close parentheses , maka

table attributes columnalign right center left columnspacing 0px end attributes row cell h open parentheses 1 close parentheses end cell equals cell f open parentheses 1 close parentheses times open parentheses 1 close parentheses end cell row blank equals cell 3 times 1 half end cell row blank equals cell 3 over 2 end cell end table

Jadi, h open parentheses 1 close parentheses equals 3 over 2 .