Answer:
f(x)⁻¹ = 3x/(2 - x)
Explanation:
Find the inverse of f(x) = 2x/(x+3)
The first step is to let f(x) = y
y = 2x/(x+3)
Then make x the subject of the formula
y = 2x/(x+3)
y(x + 3) = 2x
yx + 3y = 2x
yx - 2x = -3y
x(y - 2) = -3y
x = -3y/(y - 2)
∴ f(x)⁻¹ = -3x/(x - 2)
Dividing both numerator and denominator by -1;
f(x)⁻¹ = 3x/(2 - x)