SOLUTION: What is the inverse graph of Y = Xsquared - 2? What is the inverse of y = Xsquared + X?
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Question 43019: What is the inverse graph of Y = Xsquared - 2? What is the inverse of y = Xsquared + X?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the inverse graph of Y = Xsquared - 2?
y=x^2-2
Interchange x and y to get:
x=y^2-2
Solve for "y" as follows:
y^2=x+2
y=+sqrt(x+2) and y=-sqrt(x+2)
What is the inverse of y = Xsquared + X?
y=x^2+x
Interchange x and y to get:
x=y^2+y
Rewrite as:
y^2+y-x=0
Use the quadratic formula to get:
y=[-1+sqrt(1^2+4x)]/2 and
y=[-1-sqrt(1+4x)]/2
Cheers,
Stan H.
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