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Which of the following domain restrictions would allow the inverse of f(x) = (x + 4)^2 - 1 graphed below to also be a function? Select the THREE (3) that apply!

Which of the following domain restrictions would allow the inverse of fx x 42 1 graphed below to also be a function Select the THREE 3 that apply class=


Answer :

The domain restrictions that would allow the inverse of f(x) to also be a function are given as follows:

  • x ≤ -4.
  • x ≥ 1.
  • x > -3.

When does a graph represents an one to one function?

The function is one to one if there are no horizontally aligned points, that is, each value of y is also related to only one value of x. A function will have an inverse in the part of the domain of the function that is one to one.

For this problem, the relation is symmetric at x = -4, hence the domains x <=  -4 and x >= -4 must not intersect for the inverse to be a function, and the restrictions are given by:

  • x ≤ -4. (no horizontally aligned points considering only x ≤ -4).
  • x ≥ 1. (same).
  • x > -3(same).

More can be learned about one to one functions at brainly.com/question/10853542

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