SOLUTION: Graph the square root function and its inverse. Determine the domain and range of both functions. y=square root 2x-2
I got for the first one domain =x is greater than or equal to
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Question 188731This question is from textbook saxon algebra 2
: Graph the square root function and its inverse. Determine the domain and range of both functions. y=square root 2x-2
I got for the first one domain =x is greater than or equal to 1
the range is y is greater than or equal to 0
Inverse:1/2x+1
domain=x is greater than or equal to 0
range = y is greater than or equal to 1
Am I correct?
This question is from textbook saxon algebra 2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Is the original equation ???
If so, then...
Domain:
Range:
Start with the given equation.
Swap "x" and "y"
Square both sides.
Add 2 to both sides.
Divide both sides by 2.
Break up the fraction
Reduce
Rearrange the terms.
Rearrange the equation
So the inverse of is
Now just swap the original domain and range to get
Domain:
Range:
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