Prove that sine inverse x = cosec inverse 1/x
5,756 results
algebra
Can someone help with inverse relations and functions? is relation t a function? Is the inverse t a function? chart looks like: x 0 2 4 6 y 10 1 4 8 If someone could please explain this problem

math
Enter the expression asin(x)+15, where asin(x)is the inverse sine function.

Algebra
Is the relationship between the variables inthe table a direct variation, an inverse variation, both, or neither? If it is a direct or inverse variation write a function to model it x: 2, 5, 12, 20 y: 30, 12, 5, 3 A. Direct variation: y = 15x B. Inverse

Calculus, check my answers, please! 3
Did I get these practice questions right? 1. Suppose that f is an even function whose domain is the set of all real numbers. Then which of the following can we claim to be true? ***The function f has an inverse f โ1 that is even. The function f has an

Algebra
Myra uses an inverse variation function to model the data for the ordered pairs below. (2, 30), (3, 20), (4, 15), (5, 12), (6, 10) Which statement best explains whether an inverse variation function is the best model for the data? An inverse function is

Algebra 2
formula for converting celcius to fahrenheit: F=9/5C+32 a) what is the inverse of the function? b)use the inverse to find the celcius tempertature that corresponds to 25F Please help i have no idea how to solve this :(

PreCal: Word Problem
I'm having a lot of trouble on this word problem. Can someone help me plz? To define the inverse sine function, we restrict the domain of sine to the interval ______. On this interval the sine function is onetoone, and its inverse function sin^โ1 is

inverse
If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [1,1], so the range of f(x) is [2,4]. this means f inverse of 1 doesn't

Algebra 2
Is the relationship between the variables in the table a direct variation, an inverse variation, both, or neither? if it is a direct or inverse variation, write a function to model it. x 2 5 15 20 y 20 15 2 2 a. inverse variation;y=10/x b. neither c.

Algebra 2
I am trying to figure out if these problems are Direct Variation, Inverse Variation, or Neither. Could someone please check my answers? m=5p Direct c=e/4 Neither c=3v Direct r= 9/t Inverse n=(1/2)f Direct u=I/18 Neither d=4t Direct z= 0.2/t Inverse

Trig/Math
To find an angle where you have the opposite and adjacent which formula do you use? Sine, Cosine, Tan? and how do you find the inverse?

Algebra
what is the inverse of the linear parent function? How would you graph the inverse and what are the values for the inverse???

Linear Algebra
which of the following functions is the inverse of F(X)=3x F(X)=3X F(X)=X (cubed)**** F(X)= X/3 This function does not have an inverse. Thank you!

math
Is the relationship between the variables in the table direct variation, inverse variation, both, or neither? If it is a direct or inverse variation, write a function to follow it. X:2 5 20 40 Y:40 20 5 2 ANSWERS AVAILABLE TO CHOSE: A) NEITHER B) INVERSE

Precalculus
Find the inverse of g(x)=(1/3x)7 and then find its domain and range. I already found the inverse of the function.

algebra
Simplify x + 7 / x^2 + 4x  21 (This is a fraction) Answer choices  1/x3; where x does not equal 3.7 x  3; where x does not equal 3 1/x7; where x does not eaul 7 x7 Do the data in the table represent a direct varation or an inverse varition? writie

math
The cost of producing q articles is given by the function C=f(q)=100+2q. (A) Find the formula for the inverse function. (B) Explain in practical terms what the inverse function tells you. I am pretty sure the answer to A is f^1(C)=C/250 For B, the

Math
Find the inverse of the function. y log (x+3) The inverse is y = ___

Algebra
Consider the following matrix. A = 7, 5 4, 3 Choose the correct description of A Find A^โ1 if it exists. Answer either Choice 1, or Choice 2: CHOICE 1: A is nonsingular; that is, it has an inverse. A^1 = _________ or CHOICE 2 : A is singular; that is,

Algebra 1
Does the data in the table represent a direct or inverse variation? Write an equation that models the data in the table. X  1  3  5  10 Y  4  12 20 40 A) direct variation y=4x B) direct variation y=1/4x C) inverse variation xy=4 D) inverse

College Algebra
Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. Show both graphs. f(x)=2ln(3x)+6

Algebra
How come x: 1,0,1,2,3,4 y:2,1,2,1,2,6 does not have an inverse? I don't see why you just can't flip the x and y values (for example X:2, y:1) and have that be the inverse. Could you explain?

Math
Find inverse of f if f(x)= x^24x+3, (for x is smaller than and equal to 2). First prove that f(x) is one to one in the defined domain of f and then obtain the inverse function. I know how to find the inverse. We just switch x and y. so y=x^24x+3 becomes

Calculus
The derivative of an inverse: Suppose that ๐=๐^โ1 (f inverse) . If ๐(3)=2 , what is ๐โฒ(3) ? Express your answer solely in terms of ๐ , not ๐ .

precalculus
the function f(x)=4/x7 is one to one a. find the inverse of f b. graph f, f^1, and y=x on the same set of axes find the inverse of f f^1(x)=

Math
Find the multiplicative inverse of the number. 1/2 (fraction) The inverse would be 2/1, which would be 2 as the final answer.

algebra 2
for each function, find an equasion for the inverse. then use composition to verify that the equasion you wrote is the inverse. f(x)=10x6

Algebra
Does the data in the table represent a direct variation or an inverse variation? x  1, 2, 5, 10 y  40, 20, 8, 4 A.) Direct variation; y = 40x B.) Inverse variation; xy = 40* C.) Inverse variation; xy = 1/40

Algebra
I have to find the inverse function of f(x)=34x. I got y=3x/4 for the function. I then have to plug it back into the function and verify that it is the inverse. So I wrote (34(3x))/4. This resulted in (3+x)/4=x. I tried isolating it to get x=x but I

Trigonometry
Having trouble with true/false questions in Trigonometry. They read as follows  True or False: For a trigonometric function, y=f(x), then x=F^1(y). Explain your answer. True or False: For a one to one function, y=f(x), then x=f^1(y). Explain your

Very easy math
my teacher told me that the inverse of addition was subtraction and that the inverse of subtraction was addition... could you prove it to me x = (1)x ((1)x)^1 I don't see how I'm suppose to get + x by taking the inverse of x i've always been told in

Math steve? reiny?
1. Let f(x)=x^5 + 2x^3 + x  1 Find f^1(3) and (f^1)'(3)? I have zero idea how to find the inverse of this function at a point 3, and how to take derivative of an inverse. 2.Let f(x)=cosx + 3x Show that f(x) is a differentiable inverse and find f^1(1)

pre calculus
Find the inverse of the function below. Graph the function below and the inverse. Determine the domain, range and asymptotes of the function below and the inverse function. Please show all your work. f(x) = 2e^x + 5 Just looking at this gives me a

Maths B
(a) What is the inverse of the function y = 3x2 ? (b) On the same set of axes, without the use of a graphical calculator, graph the original function and its inverse. (c) Is the inverse of the function also a function? Explain your decision.

Pre Calculus
Inverse functions what is the inverse function of f(x)=1/square root of x +1? and f(x)=1x^2, x

calculus
Prove that cos(sin inverse x) = square root ( 1x^2)

math
Direct vs. Inverse Variation Also this one: You purchase a new SUV; as age increases, the resale price decreases. I believe this would be inverse, but the answer packet says neither direct nor inverse. As I understand inverse, as one value goes up, the

Math
y=arccos(sin(x)), find dy/dx and sketch it's graph(I guess I can do this on wolframalpha after I'm done solving the question). And by arcsin I mean inverse of the expression(written like cos^1(sin(x)), but is not 1/cos(sinx) but the inverse of cos). I am

Algebra
Does the data in the table represent a direction variation or an inverse variation, write an equation x 1 2 5 10 y 40 20 8 4 My answer is a direct variation, y=40x, is this correct? here are the other answers direct variation 7=1/40x inverse variat xy=40

Math
Directions: Does the following inverse of [2 6 exist? 1 3] If it isn't an inverse, explain why.

inverse
find f^1 (x). (this is asking me to find the inverse) f(x) = (x2)^2, x If f(x)=(x2)^2 x

College Algebra
Consider the following Matrix: A= [2 0 1 1 2 1 1 1 0 ] Choose the correct description of A. Find Aโ1 if it exists. Multiple Choice homework question: 1) A is Nonsingular; that is, it has an inverse. A^1= 2) A is singular; that is, its inverse

math
Explain the notation M^1 used for the inverse of a square matrix M. I thought M^1 would be a normal inverse matrix except the numbers would be vertically switched like in fractions...? Not sure though.

MATH PLEASE HELP
Given: Let f: X > Y be a function. Then we have an associated function f^(1): P(Y) > P(X), where f^(1) (B)โX is the inverse image of BโY. Question: Show that f^(1) is onetoone if and only if f is onto. [Notes: โ represents subspace, I just

algebra 2
Please help! y=2x I need to find the inverse, and I am wonderingif the inverse is x= 2y or f1 = x/2????

trig
inverse tan x = inverse cos 4/5

GENRAL MATHS
PROVE THAT (1+COT A+TAN A)(SIN ACOS A)=SEC A\COSEC ACOSEC A\SEC A

math precalculus
Help please! I can't seem to get x as the answer to prove that they are inverses of each other! Show what f and g are inverse functions algebraically f(x)= x1/x+5 g(x)= 5x+1/x1

calc
Find the area of the region bounded by the curves y equals the inverse sine of x divided by 4, y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative.

Algebra Help ASAP PLEASE!
((I forgot how to do find inverse functions and this is important)) Find the inverse function of g(x) = 2x + 4. A) g^(1)(x) = 4x + 2 B) g^(1)(x) = 2x + 1/2 C) g^(1)(x) = 1/2x  2 D) g^(1)(x) = 2x  4 I *think* it might be C but I'm not sure.

algebra 2
What is the identity element for multiplication? What is the multiplicative inverse of 4? of 0.1? What is the familiar name for "multiplicative inverse"?

Maths
Prove that sine inverse x = cosec inverse 1/x

PreCalc
Does y=1/x have an inverse? It is a onetoone function, so it should be the inverse equation is the same??? yes, the inverse is the same. Check it with G(f(x)) So, when drawing the inverse, it is just the same graph?

Trigonometry
IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally? A. y = sin (x + 2) B. y = sin x + 2 C. y = sin x โ 2 D. y = sin (x โ 2) 3. What is tanยน โ3/3 ? A. ฯ/4 B. ฯ/3 C. ฯ/6 D. ฯ/4 4. cotโ1

Trigonometry
IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally? A. y = sin (x + 2) B. y = sin x + 2 C. y = sin x โ 2 D. y = sin (x โ 2) 3. What is tanยน โ3/3 ? A. ฯ/4 B. ฯ/3 C. ฯ/6 D. ฯ/4 4. cotโ1

Advanced Algebra
What is the inverse of each of the functions defined by the following equations, if the inverse exists. If the inverse does not exist for the largest possible domain, limit the domain so that the inverse will exist. In each case, give the domain and range

Precaluclus
I do not know how to solve for y to get the inverse of this question: The number of elephants in a park is estimated to be P(t)=7500 1 + 749e^(โ0.15t) where t is the time in years and t = 0 corresponds to the year 1903. Find the inverse of P(t). What is

Math
Find the zero of f(x) = (2^x1)(3^x+1). x = (ln2 + ln3)/(ln2  ln3) x = (ln2  ln3)/(ln2 + ln3) x = 2/(ln2  ln3) x =  (ln5/ln1) I can't figure this out. Solve log(27)(log(x)10) = 1/3 for x. x = (3(inverse)sqrt90)/3 x = 10(inverse)sqrt3 x =

graph!
how can the graph of f(x)= X^24X be used to obtain the graph of y=g(x) ?????? don't know can you help me out? What is g(x)? The inverse function of f(x)? http://www.uncwil.edu/courses/mat111hb/functions/inverse/inverse.html

Advanced Functions 12
A student writes, "The inverse of y = โ(x+2) is y = x^2  2." Why is this statement false? I don't understand how it isnt the inverse. The textbook says that changing the domain will make it the inverse? Wouldn't that only make it a function?

Calculus
F(x) = 1x and g(x) = 1/x These functions have the property that f = f^1(inverse) and g = g ^1. That is, the inverse of f is equal to itself and the inverse of g is also equal to itself. Take the composition of each function with itself to show that this

PreCalc!
sketch a graph whose domain is the interval [0, infinity) but whose domain must be restricted to [0,4] so that the function can have an inverse. (The only one i can think of is a parabola but she said we cant use that one) Consider the 2 statements: I. if

linear algebra
1)If A is an invertible matrix and k is a positive integer, then (A^k)^1 = (A^1)^k note: ^ stand for power, 1 stand for inverse of A 2)If A is an invertible matrix, then (transpose of A)^1 =transpose of(A^1) 3)Prove A^2 = A, then I  2A = (I  2A)^1

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

Geometry
Explain why the the inverse of sine times 1.5 does not make sense.

Geometry
Explain why the inverse of sine times 1.5 does not make sense.

Math
Determine whether each equation is true for all x for which both sides of the equation are defined. If it is true, support your conclusion with a sketch using the unit circle. If it is false, give a counterexample. inverse sin(x)=inverse sin(x) inverse

PreCalc
Verify the identity. Show your work. cot2x + csc2x = 2csc2x  1 1+cosec^2x +cosec^2x Cot^2x+cosec^x= 1+2 cosec^2x Would this be correct?

PreCalculus
g(x)= x^2+7 Find the inverse of g(x) and state the domain and range for the inverse of g(x) using interval notation

calculus
f(x)=sqrt(x2) what is the inverse of f? I got inverse f(x)= x^2+2 however, you need to specify the domain of x. the answer key says when x=>0 can you please explain why? I thought it would be when x=>2 ?

Calculus
If g(X) = 2+ln(x5), find the inverse function, (g^(1))(x) Solution: y = 2+ ln(x5) e^y = 2 + x  5 x = e^y + 3 y = e^x + 3 g^(1) = y = e^x + 3 Is that right? I'm following an example  but don't really get it  how do I determine the domain and range 

Math
: Determine the equation of inverse f(x) = 2x^2+243. What is the domain and range of the inverse function.

Trig
Solve for t algebraically: inverse cos(t) = inverse sin(t). Where do I start?

Geometry
Am I CORRECT . Write the inverse and the contrapositive of the statement If Jane is here, then she is well. Inverse

math
Determine the inverse of f(x)=(x^3)2 Is the inverse the switch of coordinates between x and y or is it 1 over the whole equation?

precalculus
Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. and graph. f(x)=e^x/2+4

Math / Algebra
Can you check my work? Thank you :) 1. The Domain of a function F is the same as the range of F^1 (True or False?) Answer: True. 2. Does the function y = x2 have an inverse? Select the best answer. A. Yes, it passes the horizontal line test. B. No, it

math
how do you find the equations inverse and the domain of the inverse f(x)= 4x^2 5

End behavior models
Thanks for the help with my previous problems Roger & Leo. It was really helpful. Now I want to know how to find the right and left end behavior models and horizontal tangents for the inverse functions, say y = tan inverse(x) I have to do this for all

Maths trigonometry
Prove that cosec A_cotA by cosecA+Costa + cosecA+ Cot A by cosecA_cotA=2 cosec squareA_1=2รโ1+cos squares by1_cos squareA

math
Let f:A>B, where A and B are nonempty, and let T1 and T2 be subsets of B. a.Prove that f^1(T1 U T2)= f^1(T1) U f^1(T2). b.Prove that f^1(T1 intersects T2) = f^1(T1) intersects f^1(T2). I think once I see a I can do b. c. Prove that f^1(T1) 

calculus
Prove that cos(sin inverse x) = square root ( 1x^2)

Math(Please check)
The following function is onetoone; find its inverse f(x)=x^3+5 I know that the first step would be to set y = to x so I did y=x^3+5 Then you swap x with y so x=y^3+5. Then you solve for y and this is where I think i messed up. I did y^3=x5 = y=x^35

Math: Intro to Proofs
Given: Let f: X > Y be a function. Then we have an associated function f^(1): P(Y) > P(X), where f^(1) (B)โX is the inverse image of BโY. Question: Show that f^(1) is onetoone if and only if f is onto. [Notes: โ represents subspace, I just

algebra 2
for each function, find an equasion for the inverse. then use composition to verify that the equasion you wrote is the inverse. g(x)=6x+5 please explain how you got the answer

Calculus
Does f(x)= 1 + cos(x), have an inverse or not, if so, what is the inverse? please explain.

math!
about finding the inverse of y=(2x+1)/(x+3). should you multiply (x+3) on both sides and get y(x+3)=2x+1? then what would be your next step? This one is a little tricky because we we have a rational function. What we want to end up with is x(y) To do this

precalculus
find the inverse of the function, graph the inverse function, determine the domain, range and asympotoes f(x)= e^x/(2)+4

Algebra
Given the functions f(x)=x+5/3 and g(x)=1/f^1(x)+1, find the value of g(3). The first step would first be to find the inverse of x+1, the denominator of the fraction. I think the inverse would be 1x. And now we have 1/1x so we can just plu in 3. Right?

algebra 2
for each function, find an equasion for the inverse. then use composition to verify that the equasion you wrote is the inverse. f(x)=14.4x

Mathquick Q
So I had already asked a question on inverse and direct variation problems, how would it be if the problem is neither inverse or direct

math
using the inverse property of division how would you isolate 4.2? example of inverse property of multiplication: 3x5=25 you would add 5 to 25 and then divide 3 to 3x and 25

Algebra II (Matrices)
My book doesn't solve it like a linear equation, they solve it by using inverse matrices. Solve the matrix equation: 4 5m=32 1 2 n=5 A= 4 5 1 2 X= m n B= 32 5 Step 1. Find the inverse of the coefficient matrix. A^1= 1/132 5

precalculus
Rewrite the following expression as an algebraic function of x sin(arccos(x/2)) I know sine is y, which is opposite over hypotenuse. I also know that arccos is the inverse of cosine. I'm confused on what the question is asking and what to do with the x.

Trigonometry
Having trouble with true/false questions in Trigonometry. They read as follows  True or False: For a trigonometric function, y=f(x), then x=F^1(y). Explain your answer. True or False: For a one to one function, y=f(x), then x=f^1(y). Explain your

evaluation
Evaluate 1. sin(tan inverse sqrt(x^22x)) 2. tan (sec inverse 3y)

Math
Question 14 of 14 What is the multiplicative inverse of c/d? Explain how a number is related to its multiplicative inverse Can I get some help

Calculus
Hello I need help with this excersise of derivative of a inverse function. The excersise says: If f(x+2)=x^3+1 and g(x)=f(arctg x), find the derivative of the inverse function of g(x) and then calculate (g^1 (9))'[the derivative of the inverse function

Math 3
Find the inverse of the function f(x) = 5 โ e^(x1). Determine the domain, range, and asymptotes of the function and its inverse function. Please show all of your work.

math
i can figure this out 2+5+6 i try inverse but im still getting it wrong ive been stuck on this fo awhile There is no inverse in the equation. the ... means absolute value. We perform what is indicated in the ,, and that is +1. The absolute value of