Solve f(x)=1/x^2+1/x

$$f ( x ) = \frac { 1 } { x ^ { 2 } } + \frac { 1 } { x }$$

Evaluate

$$\frac{x+1}{x^{2}}$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x^{2} and x is x^{2}. Multiply \frac{1}{x} times \frac{x}{x}.

$$\frac{1}{x^{2}}+\frac{x}{x^{2}}$$

Since \frac{1}{x^{2}} and \frac{x}{x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{1+x}{x^{2}}$$

Factor

$$\frac{x+1}{x^{2}}$$