Question

The question

Answer 1

\(\large \color{black}{\begin{align} &\normalsize \text{if } x \normalsize \text{ is such that }\ 36\leq x\leq 72,\ \normalsize \text{then }\hspace{.33em}\\~\\

&y=\dfrac{x^2+2\sqrt x (x+4) +16}{x+4\sqrt x + 4} \hspace{.33em}\\~\\~\\

&a.) \ 20<y<54 \hspace{.33em}\\~\\
&b.) \ 23<y<58 \hspace{.33em}\\~\\
&c.) \ 25<y<64 \hspace{.33em}\\~\\
&d.) \ 28<y<60 \hspace{.33em}\\~\\
\end{align}}\)

Answer 2

O.O

Answer 3

just evaluate y at the upper and lower bounds of x

Answer 4

but putting the limits initially seems a pain there should be some simplification for this before putting the limits

Answer 5

maybe I can try?