Penjelasan dengan langkah-langkah:

Ingat !

• f(x) = ax + b; a ≠ 0

f⁻¹(x) = (x - b)/a; a ≠ 0

• f(x) = (ax + b)/(cx + d); x ≠ -d/c

f⁻¹(x) = (-dx + b)/(cx - a); x ≠ a/c

maka :

bagian a

f(x) = 3x - 7

a = 3 dan b = -7

f⁻¹(x) = (x - b)/a

f⁻¹(x) = (x + 7)/3

cara lain :

f(x) = 3x - 7

y = 3x - 7

3x = y + 7

x = (y + 7)/3

f⁻¹(x) = (x + 7)/3

bagian b

f(x) = (2x + 3)/(4x + 5)

a = 2, b = 3, c = 4, dan d = 5

f⁻¹(x) = (-dx + b)/(cx - a)

f⁻¹(x) = (-5x + 3)/(4x - 2)

cara lain :

f(x) = (2x + 3)/(4x + 5)

y = (2x + 3)/(4x + 5)

y(4x + 5) = 2x + 3

4xy + 5y = 2x + 3

4xy - 2x = -5y + 3

x(4y - 2) = -5y + 3

x = (-5y + 3)/(4y - 2)

f⁻¹(x) = (-5x + 3)/(4x - 2)

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Detail Jawaban :

Kelas : X

Mapel : Matematika

Materi : Fungsi Invers

Semoga Bermanfaat