Let f(x) = x³ + 2x + 1, and assume that the domain of f^-1 is $( - \infty , \infty )$ . Simplify $f \left[ f ^ { - 1 } ( t + 5 ) \right]$ . A) t³ + 3t + 5 B) (t + 5) ² C) $\frac { 1 } { t + 5 }$ D) t² + 2t + 1 E) t + 5

Question

Quizplus · Accepted Answer

The expression $f \left[ f ^ { - 1 } ( t + 5 ) \right]$ simplifies to $t + 5$ because applying a function and then its inverse results in the original input, in this case, $t + 5$.

Let F(x) = X 3 + 2x + 1 (−∞,∞)( - \infty , \infty )(−∞,∞)

Let F(x) = X³ + 2x + 1 $( - \infty , \infty )$