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) = 3sqrt X + 4

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) = 3sqrt X + 4      Log On


   

Question 1179041: 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) = 3sqrt X + 4
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29+=+3sqrt+%28x%29+%2B+4
find f%5E-1
y+=++3sqrt+%28x%29+%2B+4
x=++3sqrt+%28y%29+%2B+4
3sqrt+%28y%29=+x-4
sqrt+%28y%29=%28x-4%29%2F3
%28sqrt+%28y%29%29%5E2=%28%28x-4%29%2F3%29%5E2
y=%28x-4%29%5E2%2F9
f%5E-1=%281%2F9%29%28x-4%29%5E2

domain of f(x) :
{ x element R : x%3E=0 }
interval: [0,infinity)
range of f(x) :
{ f element+R : f%3E=4 }
interval: [4,infinity)


domain of f^-1(x) :
R , all real numbers
range:
{ f element+R : f%3E=0 }
interval: [0,infinity)