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Fonksiyonlar
1) f(x)=4x-17 ve f-1(3)=a ise a kaçtır?
A)3 B)4 C)5 D)6 E)7
2) f(2x-1)=x²+1 ise F(3)=?
A)1 B)2 C)3 D)4 E)5
3) f(x)=2x+3 ise f(2x) in f(x) türünden ifadesi nedir?
A)2f(x)-3 B)2f(x)+6 C)4f(x)-6 D)f(x)-6 E)f(x)+9
4) f(x)=3x+2, g(x)=5x-2 ise (gof)(x)=?
A)15x-5 B)15x+3 C)15x+8 D)15x+7 E)15x-1
5) f(x)=3x+2, (fog)(x)=x+1 ise (gof)(x)=?
A)3x+1 B)3x-1 C)3x+1/3 D)3x-1/2 E)3x
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1)
f(x)=4x-17 ve f-1(3)=a ise a kaçtır?
A)3 B)4 C)5 D)6 E)7
fa=3 'tür.
4a-17=3
4a=20
a=5
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2)
f(2x-1)=x²+1 ise F(3)=?
A)1 B)2 C)3 D)4 E)5
2x-1=3
2x=4
x=2
f3=4+1 = 5
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3)
f(x)=2x+3 ise f(2x) in f(x) türünden ifadesi nedir?
A)2f(x)-3 B)2f(x)+6 C)4f(x)-6 D)f(x)-6 E)f(x)+9
fx=2x+3
2x=fx-3
f2x=4x+3
=2.2x+3
=2.(fx-3)+3
=2fx-6+3
=2fx-3
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4)
f(x)=3x+2, g(x)=5x-2 ise (gof)(x)=?
A)15x-5 B)15x+3 C)15x+8 D)15x+7 E)15x-1
gof(x) = g (fx) = ?
g(3x+2) = 5.(3x+2) -2 = 15x+10-2 = 15x+8
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5)
f(x)=3x+2, (fog)(x)=x+1 ise (gof)(x)=?
A)3x+1 B)3x-1 C)3x+1/3 D)3x-1/2 E)3x
f(gx)=x+1
3gx+2=x+1
3gx=x-1
gx= (x-1) / 3
g(fx)=?
g(fx)= g(3x+2) = (3x+2-1 ) / 3 = (3x+1) / 3
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