using-the-defined-functions-pxx21px-x2-1-and-qx2x1-and-nbspif-and-nbsp2x-and-lt0

Question

Using the defined functions $p (x) = x^{2} - 1$ and $q (x) = {\begin{matrix} 2 x + 1 if - 2 \leq x < 0 \\ x^{2} - 2 x if 0 \leq x \leq 3 \end{matrix}$ , evaluate $q of p of 1$ .

Accepted Answer

Answer

Answer

Answer

Using the defined functions p(x)=x2−1p(x) = x^2 - 1 and q(x)={2x+1 if −2≤x<0x2−2x if 0≤x≤3q\left(x\right)=\begin{cases}2x+1\text{ if }-2\le x<0\\ x^2-2x\text{ if }0\le x\le3\end{cases}, evaluate q(p(1))q\left(p\left(1\right)\right).

Using the defined functions $p (x) = x^{2} - 1$ and $q (x) = {\begin{matrix} 2 x + 1 if - 2 \leq x < 0 \\ x^{2} - 2 x if 0 \leq x \leq 3 \end{matrix}$ , evaluate $q of p of 1$ .