Creating Anonymous Functions

Background

Function handles $($i$.$e$.,$ anonymous functions$)$ are useful because they allow you to treat calculations in MATLAB much like you would hand calculations. That is$,$ funciton handles allow you to calculate the value of some expression $($function$)$ much like you would in your math and physics classes. There are, of course, some MATLAB$-$specific syntax issues you need to be aware of; you will practice some of these syntactical specifics here.

Your Task

Write a script that accomplishes the following:

$-$ Define an anonymous function, $\backslash (\backslash$mathbf$\{$f$\}\backslash ),$ that represents $\backslash ($ f$($x$)=\backslash$frac$\{\backslash$sin $($x$)+4$ x$\}\{$x$^\{2\}\}\backslash )$

$-$ Evaluate $\backslash ($ f$(5)\backslash )$ using f and store the output to a variable called $\backslash (\backslash$mathbf$\{$A$\}\backslash ).$

$-$ Define a second anonymous function, $\backslash (\backslash$mathbf$\{$g$\}\backslash ),$ that represents $\backslash ($ g$($x$)=$e$^\{\backslash$left$(\backslash$cos $($x$)^\{$k$\}\backslash$right$)\}\backslash ),$ where $\backslash ($ e $\backslash )$ is Euler's number and k is a random variable defined by a locked line in the script template.

$-$ Evaluate $\backslash ($ g$(\backslash$pi $/4)\backslash )$ using $\backslash (\backslash$mathbf$\{$g$\}\backslash )$ and store the output to a variable called $\backslash (\backslash$mathbf$\{$B$\}\backslash ).$

$-$ Define a row vector, $\backslash (\backslash$mathbf$\{$x$\}\backslash ),$ starting at $0$ and ending at $1$ with each element spaced by $0\mathrm{.}1.$

$-$ Evaluate $\backslash ($ g$($f$($g$($x$)))\backslash )$ and store the output to a variable called $\backslash (\backslash$mathbf$\{$C$\}\backslash ).$

Note: Make sure your function handles work for array inputs!

Script $\backslash (\{\}^\{\backslash$circ$\}\backslash )$

$$ MATLAB Documentation

$```$

k $=$ randn$(1)$; $\%$ random variable; do not redefine k$!$

$\%$ define all of your variables below

$```$