Question

Дана функция f(x) =1+x/1-x,найдите f(0),f(2),f(-2),f(a),f(1/a)

Answer 1

f(0)= 1+0/1-0= 1

f(2)= 1+2/1-2= 3/-1= -3

f(-2)= 1-2/1+2= 1/3

f(a)= 1+a/1-a

f(1/a)= $\frac{1+\frac{1}{a} }{1-\frac{1}{a} }=\frac{a+1}{a-1}$

Answer 2

To find the values of the function f(x) = (1 + x) / (1 - x) for specific values of x, simply substitute the given values into the function.

1. f(0): f(0) = (1 + 0) / (1 - 0) = 1 / 1 = 1

2. f(2): f(2) = (1 + 2) / (1 - 2) = 3 / -1 = -3

3. f(-2): f(-2) = (1 + (-2)) / (1 - (-2)) = -1 / 3

4. f(a): f(a) = (1 + a) / (1 - a)

5. f(1/a): f(1/a) = (1 + 1/a) / (1 - 1/a)

For cases 4 and 5, the expressions will remain in terms of the variable 'a' since they are not specific numerical values.