Find the domain of the function. sqrt of x^2-9

107,468 results
1. Algebra

A square root function has a domain of x greater than or equal to -4 and range of y grreater than or equal to 2. Which of the equations below match this description? A. y= sqrt x-4 +2 B. y= sqrt x+4 +2 C. y= sqrt x-2 -4 D. y= sqrt x+2 -4

2. Calculus

Find the domain of the following function h(x,y) = sqrt(x-9y+5)?

3. calcius

Determine whether the relation represents a function. If it is a function, state the domain and range. {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)} a. function domain: {-2, -1, 0, 1, 3} range: {1, -2, -3, 6} b. function domain: {1, -2, -3, 6} range: {-2,

4. Math

Find the domain of the function. Write your answer in interval notation. (If you need to enter ∞ or -∞, type INFINITY or -INFINITY.) h(u,v) = sqrt(4-u^2-v^2) u^2+v^2 = ?

5. Math

The function f(x)=(x-5)^2+2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the inverse function. a. restricted domain: x>or=5; f^-1(x)=5-sqrt(x-2) b. restricted domain: x>or=5; f^-1(x)=5+sqrt(x-2) c. restricted

6. math

Find the rules for (f∘g)(x) and (g∘f)(x) and give the domain of each composite function. f(x) = x^2 g(x) = √(1-x) The Domain of (f∘g)(x) is : (f∘g)(x) = The Domain of (g∘f)(x) is : (g∘f)(x) =

The domain of f(x)=(1)/(sqrt(x^2-6x-7)) is (1, 7) [-1, 7] x > -1 or x < 7 ***{x < -1}U{x > 7} (-∞, -1]U[7, ∞) 2. In which of the following is y a function of x? I. y^2=9-x^2 II. |y|=x III. y=(sqrt(x^2))^3 I only II only III only ***I and III only I, II

8. Algebra

What is the domain of the function f(x)=sqrt(x^4-16)? In interval notation. Please show me how to work this problem out. I cannot find any examples in my book. Thanks!

9. algebra

am I right? 1. Simplify radical expression sqrt 50 5 sqrt ^2*** 2 sqrt ^5 5 sqrt ^10 5 2. Simplify the radical expression sqrt 56x^2 28x 2x sqrt 14*** 2x sqrt 7 sqrt 14x2 3. Simplify the radical expression. sqrt 490y^5w^6 2 sqrt 135y^2 2y sqrt 135*** 27

10. math111(3)

The function f(x)=(x+6)^2 is not one-to-one. Choose the largest possible domain containing the number 0 so that f(x) restricted to this domain is one-to-one. The largest possible domain is [-6,infinity) If the restriction function is written F, then

11. math-Inverse functions

f(x)=-4x-2 & g(x)=5x-6. Find (f*g) and state domain. f(x)-x^2-1 what is the equation for f^-1(x)? f(x)=3x+2, find f(f^-1(14)). f(x)=4x+7 and g(x)=3x-5 find (f*g)(-4) f(x)=sqrt x+3 what is equation for f^-1(x)? Graph y=sqrt x-2 +5 which point lies on graph?

12. Algebra

Some functions that aren't invertible can be made invertible by restricting their domains. For example, the function x^2 is invertible if we restrict x to the interval [0,inf), or to any subset of that interval. In that case, the inverse function is \sqrt

13. calculus

Find the derivative of the function using the definition of derivative. g(t)= 9/sqrt(t) g'(t)= state the domain of the function and the domain of the derivative (use interval notation)

14. Algebra 1 - Help!?

Two big questions that are driving me mad. 1) Given the following linear function sketch the graph of the function and find the domain and range. f(x) = 2/7x - 2 2) Given the following linear function sketch the graph of the function and find the domain

15. algebra

Compute the domain of the real-valued function f(x)=sqrt(1-sqrt(2-x)). Thank you

16. Math:)

A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is centered at the origin. What is the exact value of the position of the rider after the carousel rotates 5pi/12 radians? a.

determine the domain of the real valued function f(x) = sqrt(5 - (sqrtx))

18. is this correct?- math

find the domain of the real valued function; f(x) = sqrt(5 - (sqrtx)) my solution: 5 - (sqrt x) >=0 -(sqrt x) >= -5 (sqrt x)

19. Math

Hello! If you can help me with these 3 questions I would love it! 1. How do you simplify sqrt5 + 6 sqrt 5? I think that it is 5 sqrt10. Am I correct? 2. 5 sqrt 7 +2 sqrt 175. I think the answer is 7 sqrt 182 3. What is the domain of this function y = sqrt

20. algebra

2. The function f is defined as follows f(x)={4+2x if x0 a) Find the domain of the function b) Locate any intercepts c) Graph function d) Based on graph find range e) Is f continuous on its domain? a) The domain of the function f is

21. Algebra

Find the domain of the function. f(x)=(sqrt x+6)/(-2x-5) Write your answer as an interval or union of intervals.

22. college algebra

1.for the given function f&g, find the following and state the domain of each result. f(x)=2x+1/9x-5; g(x) 4x/9x-5 a.(f+g)(x)=? What is the domain? b. (f/g)(x)=? what is the domain? 2.the function f is defined as follows {x+6 if -5 ¡Üx1 a. the domain of

23. Math - Domain of Composite

Find the domain of the composite function . Please show all of your work. f(x) = sqrt(x); g(x) = 2x + 12

24. math 116

What is the difference between domain and range? The domain of a function is the set of all values for the independent variable (in the following example, that's the x) for which the function is defined. That is, if you have a function such as f(x) = 1/x

25. Calculus I

Find the point on the curve y=x^2 closest to point (0,1) Here's what I have: Sqrt {(x-0)^2 + ((x^2)-1)} Sqrt {((x^2) + (x^2)-1} d= sqrt (x^4)-1 y= (x^4)-1 Fprime(x) = 4x^3 Domain = ARN Critical Number x= 0 Any help or comments would help alot. Thanks!

26. Calculus

What is the domain and range of the following function? f(x)= - sqrt(-lnx+2) For the domain, I got 0

27. Algebra

Given the following piecewise function: Find the Given the following piecewise function: f(x)= {?(x+10 for -9 ?x

28. Calculus

Explain, using the theorems, why the function is continuous at every number in its domain. F(x)= 2x^2-x-3 / x^2 +9 A) F(x) is a polynomial, so it is continuous at every number in its domain. B) F(x) is a rational function, so it is continuous at every

29. Math

f(x)= 4-x^2 and g(x)= sqrt (x) find the implied domain of fg(x) fg(x)= f(sqrt(x)) fg(x)= 4-(sqrt(x))^2 fg(x)=4-(sqrt x)(sqrt x) fg(x)=4-x domain= (x:x=all real numbers) Am I correct?

30. Math

Find the domain and range of each function. f(x) = -sqrt{x} h(x) = sqrt{x + 1}

31. calculus

A) How do you prove that if 0(

32. Calculus

Find the sum and difference functions f + g and f – g for the functions given. f(x) = 2x + 6 and g(x) = 2x - 6 f(x) = x^2 - x and g(x) = -3x + 1 f(x) = 3x^3 - 4 and g(x) = -x^2 + 3 State the domain and range for the sum and difference functions in #3.

33. Precalculus

Determine the domain of (f/g)(x) when f(x) = 1/x and g(x) = sqrt(x+5). I have the domains of both functions and I know how to set up (f/g)(x), but I don't know where to go from there. (f/g)(x)= (1/x)/(sqrt(x+5)) domain of f(x) = (-∞,0)-(0,∞) domain of

34. math

Some functions that aren't invertible can be made invertible by restricting their domains. For example, the function x^2 is invertible if we restrict x to the interval [0,\inf), or to any subset of that interval. In that case, the inverse function is-\sqrt

35. Calculus

Find the domain, range, and inverse of the function f(x)=arcsin(sqrt(x))

36. Function Domain

Giving your answer in interval notation, find the domain of the function sqrt(((x+4)(x−4))/((x−7)(x−5)))

37. Algebra Help!

1) Given that F(x) = -5+7x^2, find and simplify: 8F(x) = F(8x) = 2) Find the domain of the function: f(x) = -2x+12 q(v) = ^9sqrt(-3v+14) f(x) = [(x-5)/(sqrt(15-x))] B(y) = [7/(81-(1/y^2))]

38. Algebra - Functions

1) Given that F(x) = -5+7x^2, find and simplify: 8F(x) = F(8x) = 2) Find the domain of the function: f(x) = -2x+12 q(v) = ^9sqrt(-3v+14) f(x) = [(x-5)/(sqrt(15-x))] B(y) = [7/(81-(1/y^2))]

39. Calculus help, very confused!!

A fundamental problem in crystallography is the determination of the packing fraction of a crystal lattice, which is the fraction of space occupied by the atoms in the lattice, assuming that the atoms are hard spheres. When the lattice contains exactly two

40. calculus

given the following piecewise function x+11 for -9

41. maths

what is the largest domain of the following functions f(x)=3x-5 f(x)=square root of (x+4) f(x)= 2 over x-4 f(x)= sqaure root of (x2-9) f(x)= 2 over x(x+7) Hopefully you've solved these by now. I just noticed the question and see there's no reply. The

42. inverse

my question was: find f^-1 (x). (this is asking me to find the inverse) f(x) = -(x-2)^2, x > and you answered: If f(x)=-(x-2)^2 x

43. Math

How do you find a square root of a number that's not a perfect square? I'm very confused. The book doesn't explain it too well. You can approximate it or simplify it in terms of (products of) square roots of smaller numbers. E.g. consider sqrt[117] The

Given the following piecewise function f(x)= {-x+1 for x < 0 {-1 for 0 ≤ x ≤ 3 {-2x for x > 3 a) Find the domain b) Find the range c) Find the intercepts d) Is f continuous on its domain? If not, state where f is discontinuous. e) Graph the function

45. Algebra

Given the following piecewise function f(x)= {-x+1 for x < 0 {-1 for 0 ≤ x ≤ 3 {-2x for x > 3 a) Find the domain b) Find the range c) Find the intercepts d) Is f continuous on its domain? If not, state where f is discontinuous. e) Graph the function

46. Math

Find the requested function and state its domain: f(x)= 4x+3 g(x)=4x-5 Find f/g and its domain. So I did 4x+3/4x-5, so the 4x's cancel out and 3/-5 is left. So my answer is 3/-5. Is this correct Now I just need to find the domain which I am not to sure

47. Math

Find the requested function and state its domain: f(x)= 4x+3 g(x)=4x-5 Find f/g and its domain. So I did 4x+3/4x-5, so the 4x's cancel out and 3/-5 is left. So my answer is 3/-5. Is this correct Now I just need to find the domain which I am not to sure

48. algebra

Find the domain and range of the relation and determine whether it is a function? Answers are Domain x>1 range y>0yes it is a function Domain all real numbers,range all real numbers yes it is a function Domain positive integers, range positive integers no

49. calculus

let f(x)=sqrt(x-3), g(x)=sqrt(x^2+3) Find a formula for f*g and state the domain of the composition

50. Algebra

Find the domain of each square root function. Then use the domain to match the radical function with it’s graph. The graphs are labeled (a) through (f) and are shown in [-10,10,1] by [-10,10,1] viewing rectangles. f(x)=~(8-2x) a) b) c) d) e) f)

51. algebra

1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). Use finite differences to determine the equation of the function. (b) Draw the graph of the function. (c) Draw the inverse on the graph. (d) Show at least two different restrictions to the

52. algerbra 1a

The maximum walking speed (in feet per second) of a large animal can be modeled by the equation S = sqrt(gL) where S = speed in feet per second, g = a constant rate of 32 feet per second, and L = the length of one leg of the animal, in feet. What domain

given the following piecewise function F(x)={x+11 for -9¡Üx

Posted by Megan on Tuesday, October 12, 2010 at 3:44pm. I have a question if someone could help, please explain it. Given b = -1 and h = -1, what is the equation of the graph if the parent function is y = sqrt (x) Answers: a.y = sqrt(x-1) b.y = sqrt (-x+1)

55. Algebra

what is the domain function y=√3x+3 The sqrt sign goes over the 3x+3 can someone show me how to do this problem?

Could someone show me how to solve these problems step by step.... I am confused on how to fully break this down to simpliest terms sqrt 3 * sqrt 15= sqrt 6 * sqrt 8 = sqrt 20 * sqrt 5 = since both terms are sqrt , you can combine them. sqrt 3* sqrt 15=

57. math,algebra,help

Directions are simplify by combining like terms. x radiacal 18 -3 radical 8x^2 can someone show me how to do these types of problems. thanks I cant determine the second term. For the first, I think you meant x sqrt(18) which reduces to x sqrt (9*3) or 3x

Find the Avrage value of the function i=15(1-e to the power of -1/2 t) from t=0 and t=4? A.7.5 sqrt 1+4e^-2 -e^-4

59. Trigonometry

In this problem, you will describe in detail how we arrive at the accepted definition of the function y= Arccsc(x) a) Sketch the cosecant function over the interval (-2pi, 2pi) i can do that b) This function is not one to one - please explain in detail the

60. precalculus

the function f(x)=(x-5)^2+2 is not one-to-one. identify a restricted domain that makes the function one-to-one, and find the inverse function. a) restricted domain ; x >= 5; f^-1(x) = 5 - sqrt x- 2 b) restricted domain ; x >= 5; f^-1(x) = 5 + sqrt x- 2 c)

61. Precalculus

I really need help on this as I have tried multiple times and my answers are none of these. Please help 1. Find (f*g)(x) where f(x)=1/(x^2+3) and g(x)=sqrt(x-2). a. (f*g)(x)=1/x-2 b. (f*g)(x)=1/sqrt(x-2)+3 c. (f*g)(x)=1/x+1 d. (f*g)(x)=sqrt(-2x^2-5/x^2+3)

62. Math

The above function is given: f(x)= sqrt of (2x-6)/(x-8) - Sarah describes the domain as [3, ∞). - Describe why her domain is incorrect. - Provide the correct domain for the function. (I sort of understand this).

63. math

questions involving domain and range... 1. Find the domain of the function f(x)=(3x+1)/(sqrt of (x^2+x-2)) andd. 2. Let f(x)= (absvalue(x))/x. Show that f(x)={ 1, x > 0 {-1, x < 0 Find the domain and range of f(x).

64. Pre-calculus

Find the inverse function of f(x) = 4 - 8/x^2, where x>0 What I think is because there is a restriction to domain (x>0), the function is invertible since sqrt(x) will always result in +-x. Am I right?

65. Algebra - Domain

Find the domain of the function: 0=((y-4)/(8-sqrt(y)))

66. college algebra

Find the domain of the function. q(s) = sqrt of 81-s^2

67. Math

Find the domain of the function: f(s)=sqrt s-1 over s-4

68. Pre-Cal

Find the domain of the function. sqrt of x^2-9

69. Math

Find the domain and range of the function. h(x)=4^sqrt 7-3x thank you!

70. PRE-CALC

Determine the domain of the following function: f(x)=sqrt x-7/x^2-5x-6 I think the domain is [7,all real numbers) Can you please tell me if this is correct?

71. Math

Find the domain of the function. f(s)= sqrt s-1 over s-4 I think I have to solve the inequality (s-1)>=0 but I do not know how to.

72. Math

how would i go about finding the domain of the function f(x)=(3x+1)/(sqrt(x^2+x-2)) and both the domain and range of g(x)=(5x-3)/(2x+1)

73. college algebra

For the given functions f and g find the following and state the domain of each. f(x)=sqrt x; g(x)=7x-3 A.what is the domain of f*g? B. What is the domain of f/g? Please show all work.

74. Pre calculus

Find the domain of the function. f(x) = sqrt 6-x A. (-∞, 6) (6, ∞) B. (-∞, sqrt6 ) (sqrt 6 , ∞) C. (-∞, sqrt6] D. (-∞, 6]

75. math

What is the largest possible domain for the function f(x) = sqrt x + sqrt(4 - x^2) ?

76. calculus

find the domain of the following function. State your answer in interval notation. f(x) = 5x + 10/ x + sqrt -26x - 169

77. Math

How do i find the domain and range of these functions? f(x)=x+1 f(x)=2/x f(x)=(x+1)/(2x-5) f(x)=sqrt(x+1) f(x)=sqrt(3x-9) f(x)=1/sqrt(x-5)

78. pre-cal

Find the roots of the function f(x)= x^2+2x+2 Determine f(x) a) (x+1-i)(x+1+i) b)(x+1-i sqrt of 2)(x+1+i sqrt of 2) c)x-1+i)(x-1-i) d)x-1+i sqrt of 2) (x-1-i sqrt of 2) Please Help! For all of these, use the rule [f(x) + ai]*[(f(x) - ai} = [f(x)]^2 + a^2

79. Algebra

what is the domain of the function u(x)=1/sqrt(x)? Thank you!

80. math

Please help. Name all values of x that are not in the domain of the given function. f(x)=x-10/(sqrt x^2-16)

81. Pre-calculus

Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19 12 : 6 15 : -7 18 : 6 a) What is the period, frequency, midline, amplitude, maximum, and minimum? b)Find a possible formula for f(t) c)Find the domain and range of f(t) d)Find a formula for

82. math

Determine the domain and range of the function. 4-X^2 if x2

83. Algebra

Find the domain of the function. Write in interval notation. sqrt(x^2 − 64). For the answer, I got (-infinity, -8)u(8, infinity), but that's wrong, and I'm not sure what else to try?

84. college algebra

for the given function f&g, find the following and state the domain of each result f(x)=2x+1/9x-5; g(x)4x/9x-5 a.(f+g)(x)= what is the domain? b.(f/g)(x)= what is the domain? please show work answer the following for the given quadratic function

85. math (3)

Find the domain of the function. Write your answer in interval notation. (If you need to enter ∞ or -∞, type INFINITY or -INFINITY.) f(s,t)= sqrt(s^2+t^2) s = ? t = ?

86. math (4)

Find the domain of the function. Write your answer in interval notation. (If you need to enter ∞ or -∞, type INFINITY or -INFINITY.) h(u,v) = sqrt(4-u^2-v^2) u^2+v^2 = ?

87. math (3)

Find the domain of the function. Write your answer in interval notation. (If you need to enter ∞ or -∞, type INFINITY or -INFINITY.) f(s,t)= sqrt(s^2+t^2) s = ? t = ?

88. Math

Find the domain of the function sqrt(4-x^2). I tried it not sure if i'm correct 4-x^2>= 0 -x^2>=-4 x^2

89. Algebra

Given the following function rules and domains, find the associated ranges. (a) f(x) = 2x +3, Domain = {0, 1, 2} (b) f(x) = 0, Domain = {0, 1, 2} (c) f(x) = 2x + x2, Domain = {1, 0, 2}

90. Math(calculus)

If f(x)= sqrt(9x^2-12x+4)/(15x^2+2x-8),what is d domain of the function. And what is it in absolute value(abs)

91. Calculus

State the domain and range of the function f(x) = 2sin(sqrt(3x-1)) + 3 Why is this so difficult?

92. math

6. Determine the domain and range for each function given. Explain where any restrictions come from. a. f(x)= sqrt x + 5 – 4 b. f(x) = 1/2x^2 – 32 c. f(x) = 4/x^2 + 1

93. Math(calculus)

If f(x)= sqrt(9x^2-12x+4)/(15x^2+2x-8),what is d domain of the function. And what is it in absolute value(abs)

94. Math(calculus)

If f(x)= sqrt(9x^2-12x+4)/(15x^2+2x-8),what is d domain of the function. And what is it in absolute value(abs)

95. math

let f(x)=sqrt of 121-x^2 a. graph the function b. state the domain and range of f(x)

96. algebra

Compute the domain of the real-valued function f(x)=qsrt(1-sqrt(2-x)). Thank you!

97. math

determine the domain of the real valued function f(x) = sqrt(5 - (sqrt5))

98. calc

Verify that the function satisfies the three hypotheses of Rolle's Therorem on the given interval. Then find all numbers c that satisfy the conclusiton of Rolle's Theorem. f(x)= x*sqrt(x+6) [-6,0] f is continuous and differential f(-6) =-6*sqrt(-6+6) =0

99. Algebra

I have a question if someone could help, please explain it. Given b = -1 and h = -1, what is the equation of the graph if the parent function is y = sqrt (x) Answers: a.y = sqrt(x-1) b.y = sqrt (-x+1) c.y = - sqrt (-x-1) d.y = sqrt(-x-1) I think it is "b"

100. algebra 3

find domain: f(x)=sqrt of 100-x^2 f(x)=sqrt of 2x^2+6x-8