tentukan invers dari f(x) = 2x - 5 g(x) = 5x - 2

Saya coba bantu yah !

Penyelesaian :
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f (x) = 2x - 5
y = 2x - 5
y + 5 = 2x
x = (y + 5) / 2
f⁻¹ (x) = (x + 5) / 2

g (x) = 5x - 2
y = 5x - 2
y + 2 = 5x
x = (y + 2) / 5
g⁻¹ (x) = (x + 2) / 5

Semoga bisa membantu yah

Mapel : Matematika
Kelas : X SMA
Bab : Fungsi Komposisi dan Fungsi Invers

Rumus Cepat :
f(x) = ax + b
f¯¹(x) = (x - b)/a

f(x) = (ax + b)/(cx + d)
f¯¹(x) = (-dx + b)/(cx - a)

Pembahasan :
f(x) = 2x - 5
f¯¹(x) = [x - (-5)]/2
f¯¹(x) = (x + 5)/2

g(x) = 5x - 2
g¯¹(x) = [x - (-2)]/5
g¯¹(x) = (x + 2)/5