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in Sets, relations and functions by (53.3k points)

If the function f: [2, ∞) → [1, ∞) is defined by f(x) = 3x(x – 2), then what is f –1(x)?

(A)  1 + √(1 + log3 X)

(A)  1 + √(1 + log3 X)

(A)  1 + √(1 + log3 X)

(D)  Does not exist

1 Answer

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Best answer

Correct option (A)  1 + √(1 + log3 X) 

Explanation :

Let g(x) be the inverse of f, then f [g(x)] = x. This implies that

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