Answer
f(c)=108
Work Step by Step
f(x)=\frac{3^{4}-81}{3-3}
f(x)=\frac{81-81}{3-3}
f(x)=\frac{0}{0}
f(x)=\frac{x^{4}-3^{4}}{x-3}
f(x)=\frac{(x^{2}+3^{2})(x^{2}-3^{2})}{x-3}
f(x)=\frac{(x^{2}+3^{2})(x-3)(x+3)}{x-3}
f(x)=(x^{2}+3^{2})(x+3)
f(c)=(3^{2}+3^{2})(3+3)
f(c)=18\times6
f(c)=108