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90 more points to go!-example-1
User Zedrian
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1 Answer

10 votes

Answer:


(x+8)^2=y;\ x\ge -8

Explanation:

So the inverse is when the x and y are swapped

Original equation:


y=√(x)-8

Swap x and y:


x=√(y)-8

add 8 to both equations:


x+8=√(y)

Square both sides


(x+8)^2=y

Now while this looks like a normal quadratic, it has to have the range restriction the original function had, but as it's domain restriction. So the range of the original function was y >= -8, because the smallest value you could input is 0, and the square root of that is 0, then subtract 8 and you get -8. So the domain is x >= -8

User Jason Shirk
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