$$ f ( x ) = x + \frac { 1 } { x } \rightarrow f ( 1 ) , f ( - 1 ) , f ( 2 ) , f ( \frac { 1 } { 2 } ) $$

Question

UpStudy AI · Accepted Answer

Dada la función $$ f(x) = x + \frac{1}{x} $$, calculamos los valores solicitados de la siguiente manera:

1. **Para $$ f(1) $$:**
   $$
   f(1) = 1 + \frac{1}{1} = 1 + 1 = 2
   $$

2. **Para $$ f(-1) $$:**
   $$
   f(-1) = -1 + \frac{1}{-1} = -1 - 1 = -2
   $$

3. **Para $$ f(2) $$:**
   $$
   f(2) = 2 + \frac{1}{2} = 2 + 0.5 = 2.5 \quad \text{o} \quad \frac{5}{2}
   $$

4. **Para $$ f\left(\frac{1}{2}\right) $$:**
   $$
   f\left(\frac{1}{2}\right) = \frac{1}{2} + \frac{1}{\frac{1}{2}} = \frac{1}{2} + 2 = \frac{5}{2}
   $$

**Resumen de los resultados:**

- $$ f(1) = 2 $$
- $$ f(-1) = -2 $$
- $$ f(2) = \frac{5}{2} $$
- $$ f\left(\frac{1}{2}\right) = \frac{5}{2} $$
Los valores de la función son: - $$ f(1) = 2 $$ - $$ f(-1) = -2 $$ - $$ f(2) = 2.5 $$ - $$ f\left(\frac{1}{2}\right) = 2.5 $$

Solución de inteligencia artificial de Upstudy

Responder

Solución

Extra Insights

preguntas relacionadas

Latest Pre Calculus Questions