Matematika

Pertanyaan

jika ( f ° g ) (x) = 4x² + 2x dan g(x) = 2x - 1, maka f (x) adalah......
a.x²+3x +1
b.x²+3x+2
c.x²+3x+3
d.x²+3x+4
e.x²+3x+5
tolong jawabnya pakai caranya......

1 Jawaban

  • (f ○ g)(x) = 4x^2 + 2x
    f(g(x)) = 4x^2 + 2x
    f( 2x - 1) = 4x^2 + 2x >> 2x - 1 = t
    f (x) = 4(t + 1/ 2)^2 + 2(t + 1/ 2) > x = t + 1/ 2
    f(x) = 4( t^2 + 2t + 2 / 4) + (t + 1)
    f(x) = t^2 + 3t + 3
    f(x) = x^2 + 3x + 3 ( c )

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