Question

Найдите область определения функции y =

Answer 1

Найдите область определения функции  y =√(x+6) - √(2x -3)
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ООФ :определяется системой неравенств 
( должны выполняться все _ здесь 2) 
{ x+6≥0 ; 2x -5 ≥0 .⇔ { x≥ -6 ; 2x ≥5.⇔{ x ≥ -6 ; x ≥2,5. ⇒  x ≥ 2,5
-----------------------[ -6 ]//////////////////////////////////////////////////////////////////
---------------------------------------[ 2,5 ] ////////////////////////////////////////////

ответ :  x ∈ [2,5 ;∞) .

Answer 2

Function Domain

The domain of a function defines the set of all possible input values for the function. It's important to determine the domain to understand where the function is defined and where it produces meaningful output.

The function y = 10 - 7x + x^2 has a domain that depends on the type of function it represents. Let's analyze the function to determine its domain.

The function y = 10 - 7x + x^2 is a quadratic function, and the domain of a quadratic function is all real numbers. This means that the function is defined for all real values of x.

The domain of the function y = 10 - 7x + x^2 is therefore all real numbers.

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