Answer
$\frac{7}{12}$
Work Step by Step
Given:
$4^{-1}+3^{-1}$
To simplify this, recall that when n is raised to -1, it will have a value equivalent to $ \frac{1}{n}$. So we will convert the values to fraction
$\frac{1}{4}+\frac{1}{3}$
Since they both have different denominator, we will use 12 which is the least common denominator of 4 and 3 and simplify
=$\frac{4}{12}+\frac{3}{12}$
=$\frac{7}{12}$