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)=Square Root X-1

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)=Square Root X-1      Log On


   

Question 1179077: 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)=Square Root X-1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=sqrt%28x-1%29
table
x|f%28x%29
1|0 ->f%28x%29+=+sqrt%281-1%29=0
2|1 ->f%28x%29+=+sqrt%282-1%29=1
3|1.4 ->f%28x%29+=+sqrt%283-1%29=sqrt%282%29=1.4
4|1.7 ->f%28x%29+=+sqrt%284-1%29=sqrt%283%29=1.7

inverse
0|1
1|2
1.4|3
1.7|4




domain of f%28x%29:
{ x element R+: x%3E=1 }
interval notation:
[1,infinity)

range:
{ f%28x%29 element+R : f%28x%29%3E=0 }
interval notation:
[0,infinity)

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