SOLUTION: Graph f as a solid line and f-1 as a dashed line in the same rectangular coordinate space. Use interval notation to give the domain and range of f and f-1. f(x) = x3 - 2

Algebra ->  Inverses -> SOLUTION: Graph f as a solid line and f-1 as a dashed line in the same rectangular coordinate space. Use interval notation to give the domain and range of f and f-1. f(x) = x3 - 2      Log On


   

Question 1179076: Graph f as a solid line and f-1 as a dashed line in the same rectangular coordinate space. Use interval notation to give the domain and range of f and f-1.
f(x) = x3 - 2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+x%5E3+-+2
table
x|f%28x%29

0|-2 ->f%28x%29+=+x%5E3+-+2=0%5E3-2=0-2=-2
1|-1 ->f%28x%29+=+x%5E3+-+2=%281%29%5E3-2=1-2=-1
2|6 ->f%28x%29+=+x%5E3+-+2=2%5E3-2=8-2=6
inverse
-2|0
-1|1
6|2






domain of f%28x%29:
R (all real numbers)
interval notation:
(-infinity,infinity)
range
R (all real numbers)
interval notation:
(-infinity,infinity)

domain of f%5E-1%28x%29:
{ x element R : x%3E=-2 }
interval notation:
[-2,infinity)
range:
{ f%28x%29 element R : f%3E=0 } (all non-negative real numbers)
interval notation:
[0,infinity)