SOLUTION: Hi. can someone please help me with this question? given y=√x-4-2,determine: a. f^-1(x) b. the domain and range of f(x) D: R: C.The domain and range of f^-1(x) D: R:

Algebra ->  Rational-functions -> SOLUTION: Hi. can someone please help me with this question? given y=√x-4-2,determine: a. f^-1(x) b. the domain and range of f(x) D: R: C.The domain and range of f^-1(x) D: R:      Log On


   

Question 1090169: Hi. can someone please help me with this question?
given y=√x-4-2,determine:
a. f^-1(x)
b. the domain and range of f(x)
D:
R:
C.The domain and range of f^-1(x)
D:
R:
d. Sketch both f(x) and f^-1(x). : Use the domain and range for each to sketch.
Thank you so much :) By the way, you don't have to do d if you do not wish to. I'll figure it out myself, hopefully.
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
given+y=sqrt%28x-4%29-2,determine:
a. f%5E-1%28x%29
y=sqrt%28x-4%29-2 ...swap x and y
x=sqrt%28y-4%29-2 ....solve for+y
x%2B2=sqrt%28y-4%29+......square both sides
%28x%2B2%29%5E2=%28sqrt%28y-4%29+%29%5E2
%28x%2B2%29%5E2=y-4
y=%28x%2B2%29%5E2%2B4
f%5E-1%28x%29=%28x%2B2%29%5E2%2B4

b. the domain and range of
y=sqrt%28x-4%29-2
D:{ x element R : x%3E=4 }
R:{ y element R : y%3E=-2 }
C.The domain and range of f%5E-1%28x%29=%28x%2B2%29%5E2%2B4
D: R (all real numbers)
R:{ y element R : y%3E=4 }


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
"hopefully" means with hope.
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It does not mean, "I hope."