Relations and Functions

$$P(n) :2^{n+2}<3^{n}$$ is true for
Which of the following statements is true?
Which of the following figures shows a reflection in the dotted line?
The range of the function  $$f(x) = {8^x} + {4^x} + {8^{ - x}} + {4^{ - x}} + 5$$ 
If $$f ( x ) + 2 f ( 1 - x ) = x ^ { 2 } + 2 , \forall x \in R$$, then find $$f ( x )$$