Question

F(x) =√9-x +10/(x+3)​

Answer 1

Ответ:

x1=√19

x1=√19

або

x1＝-4.3589

x1＝-4.3589

Answer 2

To simplify the expression, let's first rewrite it with proper grouping symbols to make it clear:

F(x) = √(9 - x) + 10/(x + 3)

Now, to simplify further, we need to consider the domain of the function. For the square root term, the value inside the square root must be non-negative, so:

9 - x ≥ 0

To find the critical point where 9 - x = 0:

9 - x = 0 x = 9

So, the function is defined for x ≤ 9.

Now, let's simplify the expression for F(x):

1. Simplify the square root term: √(9 - x)

Since we have x ≤ 9, the value inside the square root will be non-negative. Thus:

√(9 - x) = √(9 - 9) = √0 = 0

2. Simplify the rational term: 10/(x + 3)

Since we have x ≤ 9, x + 3 will also be less than or equal to 12:

10/(x + 3) = 10/(x + 3) ≤ 10/12 = 5/6

Now, we can combine the simplified terms:

F(x) = √(9 - x) + 10/(x + 3) = 0 + 5/6 = 5/6

So, the simplified form of the function F(x) is:

F(x) = 5/6 for x ≤ 9.