Pertanyaan

Jika diketahui f ( x ) = 4 − x 2 x + 3 dan g ( x ) = x − 2 . Tentukan: b. ( g ∘ f ) ( x )

Jika diketahui $f (x) = \frac{2 x + 3}{4 - x}$ dan $g (x) = x - 2$ . Tentukan:

b. $(g \circ f) (x)$

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Jawaban terverifikasi

Jawaban

hasil .

hasil $begin mathsize 14px style open parentheses g ring operator f close parentheses open parentheses x close parentheses equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 4 x minus 5 over denominator 4 minus x end fraction end cell end table end style$ .

Pembahasan

Sehingga, hasil .

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator f close parentheses open parentheses x close parentheses end cell equals cell g open parentheses f open parentheses x close parentheses close parentheses end cell row blank equals cell fraction numerator 2 x plus 3 over denominator 4 minus x end fraction minus 2 end cell row blank equals cell fraction numerator 2 x plus 3 minus 2 open parentheses 4 minus x close parentheses over denominator 4 minus x end fraction end cell row blank equals cell fraction numerator 2 x plus 3 minus 8 plus 2 x over denominator 4 minus x end fraction end cell row blank equals cell fraction numerator 4 x minus 5 over denominator 4 minus x end fraction end cell end table end style$

Sehingga, hasil $begin mathsize 14px style open parentheses g ring operator f close parentheses open parentheses x close parentheses equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 4 x minus 5 over denominator 4 minus x end fraction end cell end table end style$ .