Question

Дана функция y=f(x), где f(x)=3/x. Решите уравнение f(х²)-3=0 помогите пожалуйста :С

Answer 1

3/x^2 -3=0

((3-3x^2)/x^2)=0

3-3x^2=0

-3x^2=-3

x^2=1

x=+-1

 

 

 

 

 

 

 

 

 

 

 

 

 

Answer 2

f(x²)=3/x²

подставляем:

3/x² -3= 0 

ОДЗ: х не равен 0

3/x² =3

3х²=3

х²=1

х=±1

 

Ответ: х=±1

Answer 3

Solving the Equation f(x^2) - 3 = 0

To solve the equation \(f(x^2) - 3 = 0\) where \(f(x) = \frac{3}{x}\), we can substitute \(x^2\) for \(x\) in the function \(f(x) = \frac{3}{x}\) and then solve for \(x\).

Substituting \(x^2\) for \(x\) in the function \(f(x) = \frac{3}{x}\) gives us: \[f(x^2) = \frac{3}{x^2}\]

Now, we can rewrite the equation \(f(x^2) - 3 = 0\) as: \[\frac{3}{x^2} - 3 = 0\]

Solving for \(x\) gives us: \[\frac{3}{x^2} = 3\] \[3 = 3x^2\] \[x^2 = 1\] \[x = \pm 1\]

So, the solutions to the equation \(f(x^2) - 3 = 0\) are \(x = 1\) and \(x = -1\).

Conclusion

The solutions to the equation \(f(x^2) - 3 = 0\) where \(f(x) = \frac{3}{x}\) are \(x = 1\) and \(x = -1\).