Matematika

Pertanyaan

diket: f(x)=-2x-5,
g(x)=x/x+1,
h(x)=x²
dit:
a. F¹(x)
b.(FoG)(x)
c.(FoG)1 (x)
d.(FoGoH) (x)


1 Jawaban

  • diket: f(x)=2x+1
    g(x)=x/x+1,
    h(x)=x²
    dit:
    a. F¹(x)
    y = 2x+1
    2x = y-1
    x= y-1 /2
    f-¹(x) = x-1/ 2

    b.(FoG)(x)
    2(g(x))+1
    2(x / x+1)+1
    2x / x+1 + 1
    2x+(x+1) / x+1
    3x+1 / x+1


    c.(FoG)1 (x)
    y = 3x+1 / x+1
    y(x+1)=3x+1
    yx+y=3x+1
    yx-3x=-y+1
    x(y-3)=-y+1
    x=-y+1/ y-3
    (fog)-¹(x) = -x+1 / x-3

    d.(FoGoH) (x)
    (fog)oh) (x)
    3(h(x)) +1 / h(x) +1
    3x²+1/ x²+1

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