Question

If f : [1, ∞) → [1, ∞) defined by

f(x) = 2x(x–1) then find f–1(x).​

Answer 1

Step-by-step explanation:

f(x) = 2x²-2

f(x) = y

y = 2x²-2

y+2 = 2x²

y+2/2 = x²

x = √(y+2/2)

if, f(x) = y

then, f(y) = f-1(x) = x

f(y) = √(y+2/2)

then

f-1(x) = √(x+2/2)..;):)