Given the function $$f(x)=ax+a$$−$$x2$$ (where$$ a>$$2$$ $$). Then $$f(x+y)+f(x$$−$$y)=$$

Correct option is 12f(x)⋅f(y)

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$Given the function f (x) = \frac{a^{x} + a^{- x}}{2} (where a > 2). Then f (x + y) + f (x - y) =$

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detailed solution

Correct option is A

fx+y + fx -y =12ax+y + a-x-y +ax-y+a-x+y = 12axay +a-y + a-xay+a-y = 12ax+a-xay +a-y =2 fx fy

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Given the function f(x)=ax+a−x2 (where a>2 ). Then f(x+y)+f(x−y)=

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

$Given the function f (x) = \frac{a^{x} + a^{- x}}{2} (where a > 2). Then f (x + y) + f (x - y) =$