Question

Дам 50 баллов.Помогите пожалуйста!!!!!!Даны функции y= f(x) и y=g(x), где f(x)=2/x , а g(x)= 1/x. при каких значениях выполняется равенство g(x2 - 4)-f(x+2) = -1 ДАМ 50 баллов...Только пожалуйста!

Answer 1

1/(x^2-4)- 2/(x+2)=-1  | умножаем уравнение на (x^2-4)
1-2(x-2)=-x^2+4
-x^2+4+2x-4-1=0
x^2-2x+1=0
(х-1)^2=0
х=1

Answer 2

Solving the Equation Involving Functions

To solve the equation g(x^2 - 4) - f(x + 2) = -1, where f(x) = 2/x and g(x) = 1/x, we can follow these steps:

1. Substitute the Given Functions: - Substitute the given functions f(x) and g(x) into the equation.

2. Simplify the Equation: - Simplify the equation by performing the substitutions and simplifying the expressions.

3. Solve for x: - Solve for the value(s) of x that satisfy the equation.

Let's proceed with these steps.

Substituting the Given Functions

We substitute the given functions f(x) = 2/x and g(x) = 1/x into the equation g(x^2 - 4) - f(x + 2) = -1.

Simplifying the Equation

After substituting the functions, the equation becomes: g(x^2 - 4) - f(x + 2) = -1 1/(x^2 - 4) - 2/(x + 2) = -1

Solving for x

To solve for x, we can follow these steps: 1. Find a common denominator for the fractions. 2. Combine the fractions and simplify the resulting expression. 3. Solve for x.

Let's proceed with solving for x.