Suppose that `f(x)` is a function of the form
`f(x)=(ax^(8)+bx^(6)+cx^(4)+dx^(2)+15x+1)/(x), (x ne 0)." If " f(5)=2`, then the value of `f(-5)` is _________.

Answer

28

Explanation

`f(x)=(ax^(8)+bx^(6)+cx^(4)+dx^(2)+15x+1)/(x)`
`=underset("odd function")(underbrace(ax^(7)+bx^(5)+cx^(3)+dx+(1)/(x)+15))`
Now, `f(x)+f(-x)=30`
`or f(-5)=30-f(5)=28`