Y = 3x-2 / x + 1 (x > 0)

y=(3x-2)/(x+1)
=[3(x+1)-5]/(x+1)
=3-5/(x+1)
Because x is greater than 0
So x + 1 > 1
So 0 ＜ 1 / (x + 1) ＜ 1
0＜5/(x+1)＜5
-5＜-5/(x+1)＜0
3-5＜3-5/(x+1)＜3
That is - 2 < 3-5 / (x + 1) < 3
So the range of Y is y ∈ (- 2,3)
Answer: y ∈ (- 2,3)

RELATED INFORMATIONS

1. To find the range of the function y = x ^ 2 / x ^ 2 + 1 (the square of x plus the square of 1 / 2 of x), I use x ^ 2 = Y / y + 1 to find the range of [0.1] Then I use another method to change the original formula to 1 / y = 1 + 1 / x ^ 2, but the result is wrong. What's wrong with this method? I know how to calculate it. I use the second method to solve 1 / 2, but I just can't figure out what's wrong with the second method.
2. The range of the square + 2x + 3 of the function y = x is
3. The range of the function y = 3x-1 / X
4. On the problem of absolute value piecewise function Function y = x + 1 + X-2 (1) Why is the - 2x + 1 domain x less than - 1 y= (2) 3 (3) Why is 2x-1 domain x greater than or equal to 2
5. On writing piecewise function with absolute value removed |Why is X & # 178; - 4x | written as X & # 178; - 4x (x ≤ 0) - X & # 178; + 4x (0 ＜ x ＜ 4), X & # 178; - 4x (x ≥ 4) I know this is the form of piecewise function. I just don't know how to get rid of the absolute value to write this form. Don't tell me the answer directly according to the image. I want to know the effective method and idea to solve this problem
6. Is the function with absolute value necessarily segmented?
7. How can a function with absolute value be expressed as a piecewise function For example, how does f (x) = | x | / x + X become a piecewise function
8. How to draw piecewise function with absolute value? It's better to sum up the rules,
9. The range of function y = x square + 5x + 6 Such as the title
10. The range of function y = 2 - √ (- x ^ + 4x)
11. Y = 3x, X belongs to {0,3,6}, find the range
12. What is the range of y = (x + 2) / (x ^ 2 + 3x + 6)? Urgent, thank you!
13. Find the range 1, y = (x + 2) / (x * x + 3x + 6) 2, y = 3x / (x * x + 4)
14. The range of y = - x ^ 2 + 3x-4 Writing process
15. Find the range of y = (x-3x + 4) / X
16. Find the range of y = 1 / (2x ^ 2 - 3x + 1)
17. High school mathematics evaluation field y = √ x + √ (3-3x)
18. Find the function f (x) = 3x ^ 2-5x + 2. X belongs to the range of [0,2]?
19. Xiaoming can finish a story book in 10 days, but Xiaojun can finish it two days earlier than Xiaoming. Xiaoming reads three pages less than Xiaojun every day? Xiaoming can finish a story book in 10 days, but Xiaojun finishes it two days earlier than Xiaoming. Xiaoming reads three pages less than Xiaojun every day. How many pages does this story book have?
20. Two 7's, two 3's make up a formula. Equal to 24? Who knows how to do it?