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Question

Quantitative Ability and Data Interpretation Question on Number Systems

Consider the real-valued function f(x)=log(3x72x×2x)7x+ff(x) = \log \left( \frac{3x - 7}{\sqrt{2x \times 2x}} \right) - 7x + f. Find the domain of f(x).

A

(-∞, 7/3)

B

R - (3/2, 2)

C

(7/3, ∞)

D

R - {3/2, 2, 7/3}

E

R - {7/3}

Answer

(7/3, ∞)

Explanation

Solution

The correct answer is option (C):(7/3, ∞)