Find the range of function y = (AX + b) / (Cx + D), and AC is not equal to 0

y=(ax+b)/(cx+d)=(cx*a/c+ad/c-ad/c+b)/(cx+d)
=((cx+d)*a/c+b-ad/c)/(cx+d)
=a/c+(b-ad/c)/(cx+d)
If B = ad / C, the value of the function is always a / C
If B is not equal to AD / C, because the denominator of the fraction cannot take 0, then the range is (- ∞, a / C) ∪ (A / C, + ∞)

The absolute value of mathematics problems in Grade Seven
When x = x, formula 3 + x-4 has a minimum value, and the minimum value is
There's a reason for that

If the absolute value is greater than or equal to 0, what do you know?
So | x-4 | is greater than or equal to 0
To get the minimum, then | x-4 | should be equal to 0
Right?
So x-4 = 0
x=4
Minimum = 3 + | 4-4|
=3

A mathematical problem of rational number subtraction
At 11:35 p.m. on December 31, the train starts from station a and arrives at station B at 0:43 a.m. on January 1. How long does it take for the train to go from station a to station B

24:43-23:35=1:08
It takes 1 hour and 8 minutes from station a to station B

A mathematical problem about the subtraction of rational numbers
9. There are several numbers, the first is A1, the second is A2,... The nth is an, if A1 = 1 / 2, the second is the reciprocal of 1 and the previous number, then A2 = A3 = a=
a2010= a2011=
Tell me how he got here
Tell me how it came from

The reciprocal of 1 and the previous number
This is not complete

A mathematical problem of rational number
Let a, B and C be nonzero rational numbers
a/|a|+b/|b|+c/|c|+ab/|ab|+ac/|ac|+bc/|bc|+abc/|abc|
Minimum value of

When a, B and C are all integers
a/|a|+b/|b|+c/|c|+ab/|ab|+ac/|ac|+bc/|bc|+abc/|abc|
=1+1+1+1+1+1+1=7、
When a, B, C are all negative
a/|a|+b/|b|+c/|c|=-3
ab/|ab|+ac/|ac|+bc/|bc|=3
abc/|abc|=-1
So a / | a | + B / | B | + C / | C | + AB / | ab | + AC / | AC | + BC / | + ABC / | ABC | = - 3 + 3-1 = - 1
When a, B and C are two negative and one positive, AB, BC and AC are also two negative and one positive, and ABC is positive
a/|a|+b/|b|+c/|c|=-1
ab/|ab|+ac/|ac|+bc/|bc|=-1
abc/|abc|=1
So a / | a | + B / | B | + C / | C | + AB / | ab | + AC / | AC | + BC / | + ABC / | ABC | = - 1
When a, B and C are two positive and one negative, AB, BC and AC are two negative and one positive, and ABC is negative
a/|a|+b/|b|+c/|c|=1
ab/|ab|+ac/|ac|+bc/|bc|=-1
abc/|abc|=-1
So a / | a | + B / | B | + C / | C | + AB / | ab | + AC / | AC | + BC / | + ABC / | ABC | = - 1
The minimum is - 1

A rational number mathematical problem, as follows
A shareholder bought 2000 shares of a company last Friday at 14.8 yuan per share. The following table shows the daily rise and fall of the stock this week (unit: yuan)
Monday, two, three, four, five
Up + 1 + 1.2 - 1 + 2 - 1 per share
It is known that the investor paid 1.5% of the turnover when he bought the shares, 1.5% of the turnover and 1% of the transaction tax when he sold the shares. If he sold all the shares before Friday's closing, calculate his earnings

Purchase cost = 2000 * 14.8 * (1 + 1.5%) = 30044 yuan,
Friday turnover income = 2000 * (14.8 + 1 + 1.2-1 + 2-1)
=2000 * 17 = 34000 yuan
Transaction cost = 34000 * (1.5% + 1%) = 850 yuan
Revenue = 34000-30044-850
=3106 yuan

A mathematical problem; a rational number
If the minimum temperature on a certain day in April this year is 8 degrees and the minimum temperature is 2 degrees, what is the range of T of T degree?
I want "greater than sign" and "less than sign"

2≤t≤8

The fifth power of M divided by the second power of M + m * (- M)

Original formula = m ^ 4 + m ^ 4
=2m^4
[if I make a mistake, you are welcome to point out my mistake. After all, I am not omnipotent]

It is known that the fourth power of polynomial a - the M + 1 power of 6a and the third power of B + AB are polynomials of degree 7, so we can find the value of M
It is known that the equation (M-4) of X to the power of 32-15 + 15 = 0 is a linear equation of one variable. Try to find the value of: (1) the solution of the equation, (2) (the square of 3M + 2m) - 2 (the square of 3 / 2m-1)

1. Because the polynomial a ^ 4 -- 6A ^ (M + 1) B + AB ^ 3 is a polynomial of degree 7,
So m + 1 = 6
m=5.
2. The power of 32-15 of x = the power of 17 of X. this equation is not a one variable one degree equation, but a one variable seventeen degree equation,
So your topic is wrong,

The 11th power of eight is equal to the power of two
I want standard answers

33 power

Find the range of function y = (AX + b) / (Cx + D), and AC is not equal to 0