Answer
$f(x) = x^6$
$a = 2 $
Work Step by Step
The form of the equation given resembles the form
$\lim\limits_{x \to a}$ $\frac{f(x) - f(a)}{x-a}$
In this case, we have $2$ being subtracted from the denominator, so $a = 2$.
Our left term in the numerator $f(x)$ is $x^6$. We can check this by looking at the $f(a)$ term that is being subtracted. Since $a = 2$, $f(2)$ = $2^6$ or $64$.
Thus, $f(x) = 2^6$ and $a = 2 $
