Question

Diketahui f(x)=2x-3/4x+1 x tidak sama dengan -1/4 tentukan invers fungsi f(x)

Answer 1

F(x) = (2x-3)/(4x+1)
y = (2x-3)/(4x+1)
y(4x+1) = 2x -3
4 xy + y = 2x -3
4xy - 2x = -y - 3
x(4y -2) = -y - 3
x = (-y-3)/(4y -2)

f⁻¹(x) = (-x-3)/(4x-2)  atau 
f⁻¹(x) = (x+3)/ (2 - 4x)