F(x)=3x-5 g(x)=x²-9tentukan a. f-¹(x) b. (fog) (x) c. (fog) (2)

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F(x)=3x-5 g(x)=x²-9tentukan a. f-¹(x) b. (fog) (x) c. (fog) (2)

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Fungsi Komposisi

f(x)=3x-5
g(x)=x²-9

a.f⁻¹(x)=
y=3x-5
y+5=3x
y+5/3=x
f⁻¹(x)=(x+5)/x
———-

b.(fog)(x)=f(g(x)
=f(x²-9)
=3(x²-9)-5
=3x²-27-5
=3x²-32
———
c.(fog)(2)=3(2)²-32
=3(4)-32
=12-32
=-20
——-

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