If \( f \) is a continuous function that satisfies \( \int_0^{x^4} f(t)dt + \int_0^x f(t^4)dt = x \) for all \( x \), what is the value of \( f(1) \)?
Options:
A) \( f(1) \) cannot be determined
B) \( f(1) = 0 \)
C) \( f(1) = 1 \)
D) \( f(1) = -1 \)