Evaluate and define a domain, evaluate a range and define a domain

0 or more under the root number

2sinx+1>=0

sinx>=-1/2

sin(2k - 6) = sin(2k +7 6) = -1 2 so 2k - 6<=x<=2k +7 6 defines the domain [2k - 6,2k +7 6]1 9<=x<=9

3^(-2)<=x<=3^2

log3(x) is an increment function if the base number is greater than 1.

So log3[3 (-2)]<=log3(x)<=log3(3 2)2<=t<=2

sinx≥-1/2

x (2k, 5 6+2k), k is an integer.

2.When x=1 9, log3x=log3(1 9)=-2, when x=9, log3x=log39=2

After log3x=t, the definition field of x becomes [-2,2].

1, under the root number, greater than "=0".

That is, 2sinx+1>=0

So sinx>=-1 2

So 2k - 6<=x<=2k +7 6, so the domain is defined as [2k - 6,2k +7 6]2,1 9<=x<=9

log3(x) is an increment function if the base number is greater than 1.

log3(1 9)<=log3(x)<=log3(9), that is, log3(1, 9)<=t<=log3(9), that is, -2<=t<=2

In the deformation investigation of the exponential function image and properties, it is necessary to consider that the denominator of the unknown is not equal to 0 in the denominator.

Since the denominator of the division is not zero, the first question, the definition domain is.

∞，1）u（1，+∞

The range is (0, 1)u(1, +

Question 2: Defining the domain is.

∞，1/4）u（1/4，+∞

Range: Same as the range of the first question.

Process RT ......I hope to accompany the bend to help Yuanyuan to your orange mess.

Question 1: Let y=x-1

Let the function be intentionally searchable or meaningful.

then 1-(1 2) y 0

Then (1 2) y 1

y 0 is leaked x-1 and let Wu 0

So define the domain x 1

value range [1, positive infinity].

2 questions. <>

f(x)=x |x|≤1

f(x)=x² 1<|x|≤4

f(x) is defined in the domain -4 x 4

f(x²)=x² |x|≤1

f(x²)=x⁴ 1<|x|≤2

f(x) is defined in the domain -2 x 2

f(x+3)=x+3 -4≤x≤-3

f(x+3)=(x+3) 7 x<-4 -3g(x): -2 x 1

g(x)=x⁴+(x+3)² 2≤x≤-1g(x)=x²+(x+3)² 1

You can first classify and discuss the different ranges of the congregations according to the topic, find out the percolation noise in different value ranges, and then take the union set. For the Li rent definition domain, the title has been given, that is, the range x given by the title.

The exponential function has no requirements for exponents, so the domain is defined as r, the exponent is 3+2x-x, and its value range is (- 4), and (1 2) x is a subtraction function, so as for that.

Range'-1--third, defines the domain'Except for 120-120 degrees away from everything.