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

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

Evaluate

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{x}{x}.

$$\left(\frac{xx}{x}+\frac{1}{x}\right)^{1}$$

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

$$\left(\frac{xx+1}{x}\right)^{1}$$

Do the multiplications in xx+1.

$$\left(\frac{x^{2}+1}{x}\right)^{1}$$

Calculate \frac{x^{2}+1}{x} to the power of 1 and get \frac{x^{2}+1}{x}.

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

Factor

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