Find the order 3 Taylor polynomial T3(x)\displaystyle {T}_{{3}}{\left({x}\right)} of function given. Use exact values.
f(x)=(7x+22)43\displaystyle {f{{\left({x}\right)}}}={\left(-{7}{x}+{22}\right)}^{{\frac{{4}}{{3}}}} at a=2\displaystyle {a}={2}.
T3(x)=\displaystyle {T}_{{3}}{\left({x}\right)}=