Question

Can someone please help me with problem #15 in this inverse relations and functions assignment? This is algebra 2 by the way. Please show your work. The answer is provided right next to it.

Directions: Find the inverse of the function. Graph both functions and verify the inverse relationship on the graph.

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Answer 1

Answer:

Inverse Graph: √-x+6=f(x)

Step-by-step explanation:

To find the inverse, you have to switch the x and y
1. y=-x^2+6 changes to

2. x=-y^2+6
Then isolate y again.
3. x-6=-y^2
4. -x+6=y^2
5.√-x+6=y
(y and f(x) are the same thing)