Given f (x + 1 / x) = (x-1 / x) ^ 2, find f (x) and use the method of substitution First, f (x + 1 / x) = (x-1 / x) ^ 2 = (x + 1 / x) ^ 2-4 So let t = x + 1 / x, then f (T) = T ^ 2-4 The key point of this problem is to pay attention to the domain of definition, because x + 1 / X has a range The range is x + 1 / x > = 2 or x + 1 / X=

Given f (x + 1 / x) = (x-1 / x) ^ 2, find f (x) and use the method of substitution First, f (x + 1 / x) = (x-1 / x) ^ 2 = (x + 1 / x) ^ 2-4 So let t = x + 1 / x, then f (T) = T ^ 2-4 The key point of this problem is to pay attention to the domain of definition, because x + 1 / X has a range The range is x + 1 / x > = 2 or x + 1 / X=

The substitution method is a bit troublesome to understand,
X in F (x) refers to the parameter of its function. X in F (x + 1 / x) is not X in F (x), but let g (x) = x + 1 / X,
By substituting g (x) into f (x) to replace the position of X, we get f (x + 1 / x) = (x-1 / x) ^ 2 = (x + 1 / x) ^ 2-4
main points:
F (x + 1 / x) should be regarded as a composite function, and G (x) = x + 1 / X replaces the position of X in the original function f (x)
I hope it will help you^-^

For example, if f (2x + 1) = 3x + 2, what is the relationship between 2x + 1 and 3x + 2?

2X + 1 is an internal function and 3x + 2 is a composite function
f(x)=1.5x+0.5 f(2x+1)=1.5(2x+1)+0.5=3x+2

Exchange method of mathematical function in grade one of senior high school: known f (x + 1 / x) = (x-1 / x) ^ 2, find f (x), and use exchange method to solve. In addition, talk about the basic steps! Thank you

First, f (x + 1 / x) = (x-1 / x) ^ 2 = (x + 1 / x) ^ 2-4
So let t = x + 1 / x, then f (T) = T ^ 2-4
The key point of this problem is to pay attention to the domain of definition, because x + 1 / X has a range
The range is x + 1 / x > = 2 or x + 1 / X=

Finding the square DX of indefinite integral ∫ x divided by 1 + X

∫x/(1+x^2) dx = 1/2 ln(1+x^2)+c
∫x/(1+x)^2 dx = 1/(x+1)+ln(x+1) +c
I don't know which one you're talking about?

A comparison of 26 letters in English

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
a b c d e f g h i j k l m n o p q r s t u v w x y z

26 upper and lower case Chinese Pinyin alphabets
Case Chinese Pinyin alphabet

Aa Bb Cc Dd Ee Ff Gg
Hh Ii Jj Kk Ll Mm Nn
Oo Pp Qq Rr Ss Tt
Uu Vv Ww Xx Yy Zz

Pinyin 26 letter case is not English letter case

Yes, they are all Latin letters. But the pronunciation of the letters is different. At the same time, there is no V in Chinese Pinyin, but V is used to replace Yu in computer typing

How to let children quickly remember the Chinese Pinyin alphabet case 26
One day

What are the English names for "upper case" and "lower case"?

Capital letter
Small letter

26 upper and lower case letters

Capital abcdefghijklmnopqrstuvwxyz
Small abcdefghijklmnopqrstuvwxyz