SOLUTION: What is the domain and range of the function f( x)=sin^-1 (x) The correct answer is one of the following. Which one? A) domain [-1,1], range [-pi/2, pi/2] B) domain [-1,1],

Algebra ->  Functions -> SOLUTION: What is the domain and range of the function f( x)=sin^-1 (x) The correct answer is one of the following. Which one? A) domain [-1,1], range [-pi/2, pi/2] B) domain [-1,1],       Log On


   

Question 1198523: What is the domain and range of the function f( x)=sin^-1 (x)
The correct answer is one of the following. Which one?
A) domain [-1,1], range [-pi/2, pi/2]
B) domain [-1,1], range [0, pi]
C) domain [0,pi], range [infinity, infinity]
D) domain [infinity, infinity], range [0,pi]
E) domain [-pi/2, pi/2], range [infinity, infinity]
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

f%28+x%29=sin%5E-1+%28x%29
since sine function

domain:
{ x element R : -1%3C=x%3C=1 }

The range of the basic arcsin function is : -pi%2F2%3C=arcsin%28x%29%3C=pi%2F2
{ f+%28x%29 element R : -pi%2F2%3C=f%28x%29%3C=pi%2F2

answer is A)