Matematika

Pertanyaan

tolong dibantu ya guys makasih
tolong dibantu ya guys makasih

1 Jawaban

  • 1.
    g(x)= 2x-4
    gof(x)= 4x^2 -24x +32

    gof(x)= 2(f(x)) -4
    4x^2 -24x +32= 2(f(x)) -4
    2(f(x)) = 4x^2 -24x+36
    f(x)= 2x^2-12x+18

    f(-2)= 2(-2)^2 - 12(-2) + 18= 2(4)+24+18
    f(-2)= 50
    jawaban: D

    2.
    fog(x)=x^2-4x+2
    g(x)= x-3

    permisalan:
    a=x-3
    x=a+3

    f(g(x))= x^2 - 4x + 2
    f(x-3)=(a+3)^2 - 4(a+3) + 2
    f(a)= a^2+6a+9-4a-12+2
    f(a)= a^2+2a-1
    f(x)= x^2 + 2x - 1

    f(-3)= (-3)^2 + 2(-3)-1=9-6-1
    f(-3)= 2
    jawaban: E


    3.
    f(x)= x+2
    gof(x)= 2x^2 + 4x +1
    g(2x)

    permisalan:
    a= x+2
    x= a-2

    g(f(x))= 2x^2 + 4x +1
    g(x+2)= 2(a-2)^2 + 4(a-2) + 1
    g(a)= 2a^2 - 8a + 8 + 4a - 8 +1
    g(a) = 2a^2 - 4a + 1

    g(2x)= 2(2x)^2 - 4(2x) + 1
    g(2x)= 8x^2-8x+1

    jawaban: C..