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) = (x - 5)2, x â‰

Algebra ->  Finance -> 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) = (x - 5)2, x ≠     Log On


   

Question 1179039: 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) = (x - 5)2, x ≥ 5
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+%28x+-+5%29%5E2
table
x|f%28x%29

4|1 ->f%28x%29+=+%284+-+5%29%5E2=1
3|4 ->f%28x%29+=+%283+-+5%29%5E2=4
2|9 ->f%28x%29+=+%282+-+5%29%5E2=9
inverse
reverse x and y
1|4
4|3
9|2



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

range:
{ f%28x%29 element R+: f%28x%29+%3E=0 } (all non-negative real numbers)
[0,infinity)


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

range:
{ f element R : y%3E=5 }
[5,infinity)