1.

If f : [1, ∞) → [1, ∞) defined by f(x) = 2x(x–1) then find f–1(x).​

Answer»

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)..;):)


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