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The number of solutions of the equation a^{f (x)} + g (x) = 0, a > 0, g (x) ≠ 0 and has minimum value 1/2 is

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Correct option is C

We have af (x) + g (x) = 0, a > 0Since minimum value of g (x) is 1/2∴g(x)>0 and af(x)>0∴ af(x)+g(x)>0,∀xHence number of solutions is zero.

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The number of solutions of the equation af (x) + g (x) = 0, a > 0, g (x) ≠ 0 and has minimum value 1/2 is

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Ready to Test Your Skills?

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The number of solutions of the equation a^{f (x)} + g (x) = 0, a > 0, g (x) ≠ 0 and has minimum value 1/2 is