SOLUTION: Given the function f(x)=square root of x-4 A.Find f-1(x) B. Graph f and f-1 in the same rectangular coordinate system C use interval notation to give the domain and the range

Algebra ->  Functions -> SOLUTION: Given the function f(x)=square root of x-4 A.Find f-1(x) B. Graph f and f-1 in the same rectangular coordinate system C use interval notation to give the domain and the range       Log On


   

Question 164923This question is from textbook blitzer college Algebra
: Given the function f(x)=square root of x-4
A.Find f-1(x)
B. Graph f and f-1 in the same rectangular coordinate system
C use interval notation to give the domain and the range of f and f-1
Thanks if anyone can offer me some help on this. This question is from textbook blitzer college Algebra

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.To find the inverse, first change to x,y notation.
y=sqrt%28x-4%29
Then interchange the positions of x and y and solve for y.
highlight%28x%29=sqrt%28highlight%28y%29-4%29
x%5E2=y-4
y=x%5E2%2B4
The solution for the new y is the inverse function.
f%5E%28-1%29%28x%29=x%5E2%2B4
.
.
.
2. Graph both functions.
+graph%28+300%2C+300%2C+-1%2C+10%2C+-1%2C+10%2C+sqrt%28x-4%29%2C+x%5E2%2B4%29+
The domain of f(x) is restricted because of the square root function.
x-4%3E=0
x%3E=4
and the range is bounded by zero.
Domain f(x):(4,infinity)
Range f(x):(0,infinity)