tolong bantu jawab nomor 3-5

Mapel : Matematika
Kelas : X SMA
Bab : Fungsi

Pembahasan :
3.

f(x) = 6 - 3x
y = 6 - 3x
3x = 6 - y
x = (6 - y)/3
f¯¹(x) = (6 - x)/3

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4.

Gof(x) = 2x² + 4x + 5
G(f(x)) = 2x² + 4x + 5
2f(x) + 3 = 2x² + 4x + 5
2f(x) = 2x² + 4x + 2
f(x) = x² + 2x + 1

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5.

Gof(x) = g(f(x))
Gof(x) = (4x + 2 - 3)/(4x + 2 + 1)
Gof(x) = (4x - 1)/(4x + 3)
y = (4x - 1)/(4x + 4)
4xy + 4y = 4x - 1
4xy - 4x = -1 - 4y
x(4y - 4) = -(1 + 4y)
x = -(1 + 4y)/(4y - 4)
x = (1 + 4y)/(4 - 4y)
Gof¯¹(x) = (1 + 4x)/(4 - 4x)