SOLUTION: Find the domain and range of: 1. F(x)=sqrt of x-1, 2. F(x)=tanx

Algebra ->  Functions -> SOLUTION: Find the domain and range of: 1. F(x)=sqrt of x-1, 2. F(x)=tanx      Log On


   

Question 958464: Find the domain and range of:
1. F(x)=sqrt of x-1,
2. F(x)=tanx
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For the square root,
x-1%3E=0
x%3E=1
So the domain is x%3E=1
The square root is always non-negative so the range is (0,infinity)
.
.
.
Only one value is an issue for the tangent function when the cos(x) goes to zero since division by zero is undefined.
So 90+%2B-+360n and 270+%2B-+360n are not in the domain.
(0,90)U(90,270)U(270,360)
But the tangent function takes on all values so the range is (-infinity,infinity)