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Question: If y = 3<sup>x–1</sup> + 3<sup>–x–1</sup> ; x Ī R, then least value of y is...

If y = 3x–1 + 3–x–1 ; x Ī R, then least value of y is

A

2

B

6

C

2/3

D

None

Answer

2/3

Explanation

Solution

y = 13(3x+13x)\frac{1}{3}\left( 3^{x} + \frac{1}{3^{x}} \right) Ž ymin = 132\frac{1}{3} \cdot 2