Matematika

Pertanyaan

Tolong bantu jawab
Tentukan fog dan gofnya
Tolong bantu jawab Tentukan fog dan gofnya

1 Jawaban

  • [tex]( f_{0} g)=f(g(x))[/tex]
    [tex]f( \frac{5}{1-2x} )= \frac{ \frac{5}{1-2x}-6 }{2 \frac{5}{1-2x}+2 } [/tex]
    [tex]f( \frac{5}{1-2x} )= \frac{ \frac{5-6(1-2x)}{1-2x} }{ \frac{10+2(1-2x)}{1-2x} } [/tex]
    [tex]f( \frac{5}{1-2x} )= \frac{5-6(1-2x)}{10+2(1-2x)} = \frac{5-6+12x}{10+2-4x} = \frac{12x-1}{-4x+12} [/tex]


    [tex]( g_{0} f)=g(f(x))[/tex]
    [tex]g( \frac{x-6}{2x+2} )= \frac{5}{ \frac{x+1-x+6}{x+1}} = \frac{5}{ \frac{7}{x+1} } [/tex]
    [tex]g( \frac{x-6}{2x+2} )= \frac{5(x+1)}{7} } = \frac{5x+5}{7} [/tex]