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A question on decreasing function

Let $t\in (0,1)$ and

  • ${a_n}{x^n} + .... + {a_1}{x^1} - f(t) = 0$
  • $f(t) $ is continuous decreasing function of $t$.
  • $a_i\ge0$ for all $i$.
  • $y(t)$ is positive real zero of the first equition.

Can we say that $y(t)$ is continuous decreasing function of $t$?