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Tài liệu giảng dạy phụ đạo tổ Toán THPT Phan Chu Trinh Đăk Lăk Lớp 10-11-12 TRỌN BỘ (Tài liệu lưu hành nội bộ) (GoodRead)

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g) y =<br />

1<br />

1 − x +<br />

x 1+<br />

x<br />

D=(−1;1]\{0}<br />

h) y =<br />

2x<br />

−1<br />

x | x − 4 |<br />

D=(0;+∞)\{4}<br />

i) y =<br />

1<br />

3 − x +<br />

x<br />

2 −1<br />

D=(−∞;3]\{−1;1}<br />

j) y =<br />

1<br />

2 2<br />

D= R vì 2x − 4x + 4 = ( 2x<br />

− 2) + 2 >0 ∀x<br />

2<br />

2x<br />

− 4x<br />

+ 4<br />

k) y = 6 − x + 2x<br />

2x<br />

+ 1<br />

1<br />

D=[ − ;6]<br />

2<br />

2x<br />

+ 1<br />

l) y =<br />

x(|<br />

x | −1)<br />

D= R \{−1;0;1}<br />

2<br />

x + 1<br />

m) y = + x<br />

2 − x<br />

1+<br />

x D=[−1;2)<br />

1<br />

n) y = + ( x + 2)<br />

2<br />

x + 3x<br />

+ 3<br />

x + 3<br />

D=[−3;+∞) vì<br />

o) y =<br />

1 2<br />

+ | x + 1| x − x + 6<br />

2<br />

x + 3x<br />

+ 5<br />

D= R<br />

vì<br />

2 3 2 <strong>11</strong><br />

x + 3x + 5 = ( x + ) + >0 ∀ x<br />

2 4<br />

2 1 2 23<br />

x − x + 6 = ( x − ) + >0 ∀ x<br />

2 4<br />

| x |<br />

p) y =<br />

2<br />

| x − 2 | + | x + 2x<br />

|<br />

D= R<br />

vì không có giá trị nào của x để |x−2|+|x 2 +2x|=0. Thật vậy:<br />

nếu x−2=0⇒ x=2 thì x 2 +2x≠ 0<br />

3x<br />

+ 5<br />

q) y = 3 D= R \{−1;1}<br />

2<br />

x −1<br />

r) y =<br />

2<br />

x + 2x + 1 + x − 3 D=[3;+∞)<br />

2<br />

s) y = x − 2x + 1 + x − 3 - x − 4 + 1 D=[4;+∞)<br />

1<br />

t) y =<br />

D= R \{1}<br />

2<br />

2<br />

| x − 3x<br />

+ 2 | + | x −1|<br />

vì khi x=1 thì mẫu bằng 0 (tương tự câu p)<br />

2<br />

| x | −1<br />

x − | x |<br />

u) y = −<br />

D= R \{−1;1}<br />

2<br />

2<br />

x −1<br />

x − 2 | x | + 1<br />

⎡ 2<br />

2<br />

x − 2x + 1 , khi x ≥ 0<br />

x − 2 | x | + 1 ⇔ ⎢<br />

2<br />

⎣ ⎢ x + 2x + 1 , khi x < 0<br />

v) y = 1− | x |<br />

D=[−1;1]<br />

w) y =<br />

1<br />

| x 2 −1|<br />

D= R \{−1;1}<br />

⎪⎧<br />

1- x neáu - 2 ≤ x ≤ 0<br />

x) y = f(x)= ⎨ D=[−2;2]<br />

⎪⎩ x neáu 0 ≤ x ≤ 2<br />

x<br />

2<br />

+ 3x<br />

+ 3 ≠0 ∀ x<br />

<strong>Tài</strong> <strong>liệu</strong> <strong>lưu</strong> <strong>hành</strong> <strong>nội</strong> <strong>bộ</strong> Trang 20/219.

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