Question

F(x)=x+1/x в точках - 1;½;10

Answer 1

F(-1)=-1-1/1=-2
f(1/2)=1/2+1/(1/2)=1/2+2=2 1/2=2,5
f(10)=10+1/10=10 1/10=10,1

Answer 2

To find the values of the function $F(x) = x + \frac{1}{x}$ at the given points -1, 1/2, and 10, we simply substitute these values into the function and perform the calculations. Let's calculate the values step by step:

1. At $x = -1$:

$F(-1) = (-1) + \frac{1}{-1} = -1 - 1 = -2$

2. At $x = \frac{1}{2}$:

$F\left(\frac{1}{2}\right) = \left(\frac{1}{2}\right) + \frac{1}{\frac{1}{2}} = \frac{1}{2} + 2 = \frac{5}{2} = 2.5$

3. At $x = 10$:

$F(10) = (10) + \frac{1}{10} = 10 + 0.1 = 10.1$

So, the values of the function $F(x) = x + \frac{1}{x}$ at the points -1, 1/2, and 10 are -2, 2.5, and 10.1, respectively.