Question

Find the inverse of the function.

y = √x - 8
Write your answer in the form a(bx + c)² + d, where a, b, c, and d are constants. Enter the
domain of the inverse in the form: x ≤ # or x ≥ #. Simplify any fractions.
y =
미미
Submit
(0)
2
X
±

Answer 1

To find the inverse of the given function, interchange the x and y variables, solve for y, and express the answer in a different form. The domain of the inverse is x ≥ -8.

Step-by-step explanation:

To find the inverse of the given function y = √x - 8, we need to interchange the x and y variables and solve for y. So, starting with x = √y - 8, we can isolate y by adding 8 to both sides and then squaring both sides. This gives us (x + 8)2 = y, which is the inverse of the original function. The domain of the inverse is x ≥ -8 because the original function had a square root, which requires x to be greater than or equal to -8.

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