1. If $f(x)=4x^3+1$, find $f^{-1}(33)$.

2. If $f(x)$ and $g(x)$ are polynomials such that $f(x) + g(x) = -2 + x,$ then what is $g(x)$ if $f(x) = x^3 - 2x - 2$?

3. Find the constant $t$ such that\[(5x^2 - 6x + 7)(4x^2 +tx + 10) = 20x^4 -54x^3 +114x^2 -102x +70.\]

Even just one solved would b greatly appreciated!!!

Guest Feb 3, 2021