Question 54
Let $a$, $b$ and $c$ be real numbers and let $f: \mathbb{R} \to \mathbb{R}$ be a function given by
$$
f(x) = a x^5 + b x^3 + c \sin x - 1.
$$
If $f(-2015) = 2015$, determine $f(2015)$.
$$
f(x) = a x^5 + b x^3 + c \sin x - 1.
$$
If $f(-2015) = 2015$, determine $f(2015)$.