If f(x) = 2x + 2- x 2 , then f(x + y), f(x - y) = - Vidyadip

MCQ

If $ \text{f}(\text{x}) = 2\text{x} + 2-\sqrt{\frac{\text{x}}{2}}$, then $\text{f}(\text{x + y}), \text{f}(\text{x - y}) =$

✓
$ \frac{1}{2} \big[\text{}f(\text{2x}) +\text{ f} \text{(2y)}\big]$
B
$ \frac{1}{4} \big[\text{[}f(\text{2x}) +\text{ f} \text{(2y)}\big]$
C
$ \frac{1}{2} \big[\text{}f(\text{2x}) \text{ f} \text{(2y)}\big]$
D
$ \frac{1}{4} \text{[}f(\text{2x}) \text{ f} \text{(2y)}]$

✓

Answer

Correct option: A.

$ \frac{1}{2} \big[\text{}f(\text{2x}) +\text{ f} \text{(2y)}\big]$

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