Sunday

January 25, 2015

January 25, 2015

Posted by **Anonymous** on Monday, August 5, 2013 at 11:57am.

- Calculus -
**Reiny**, Monday, August 5, 2013 at 1:43pmgiven:

y = arcsin √x

or

√x = sin y

domain: clearly 0 ≤ x ≤ 1

and the domain is : y any real number

for inverse:

interchange the x and y in

√x = sin y

to get

√y = sinx

y = sin^2 x

so f^-1 (x) = sin^2 x or (sinx)^2

verification:

http://www.wolframalpha.com/input/?i=plot+√x+%3D+sin%28y%29

**Answer this Question**

**Related Questions**

Pre-calculus - Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19...

algebra - 1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). ...

pre calculus - Find the inverse of the function below. Graph the function below ...

Advanced Algebra - What is the inverse of each of the functions defined by the ...

calculus - Consider the function . a. Find the domain and range of h. b. What is...

college algebra - f(x)=√x-2 Find the domain of the function is it x-2 the ...

Calculus - Hi. In an integration solution, the integral of (1/(sqrt (8-u squared...

Calculus - What is the domain and range of the following function? f(x)= - sqrt...

math - questions involving domain and range... 1. Find the domain of the ...

Math 3 - Find the inverse of the function f(x) = 5 – e^(x-1). Determine the ...