15)
4x + 10 = 10
4x = 10 - 10
4x = 0
x = 0
16)
1) 16 - x² ≥ 0
x² - 16 ≤ 0
(x - 4)(x + 4) ≤ 0
+ - +
________[- 4]_________[4]___________
///////////////////////
x ∈ [- 4 ; 4]
2) x² - 4x - 5 ≠ 0
(x - 5)(x + 1) ≠ 0
x - 5 ≠ 0 ⇒ x ≠ 5
x + 1 ≠ 0 ⇒ x ≠ - 1
Ответ: область определения x ∈ [- 4 ; - 1) ∪ (- 1 ; 4]
17)
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Verified answer
15)
4x + 10 = 10
4x = 10 - 10
4x = 0
x = 0
16)
1) 16 - x² ≥ 0
x² - 16 ≤ 0
(x - 4)(x + 4) ≤ 0
+ - +
________[- 4]_________[4]___________
///////////////////////
x ∈ [- 4 ; 4]
2) x² - 4x - 5 ≠ 0
(x - 5)(x + 1) ≠ 0
x - 5 ≠ 0 ⇒ x ≠ 5
x + 1 ≠ 0 ⇒ x ≠ - 1
Ответ: область определения x ∈ [- 4 ; - 1) ∪ (- 1 ; 4]
17)