Determine whether the function has an inverse function.If it does, find the inverse function. F(x) = (x + 4)², x -4 A) $f ^ { - 1 } ( x ) = \sqrt { x } + 4$ B)f^-1(x) = -(x + 4)² C)f^-1(x) = (x + 4)^-2 D) $f ^ { - 1 } ( x ) = \sqrt { x } - 4$ E)No inverse

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The function F(x) = (x + 4)^2 is a quadratic function, which is not one-to-one over all real numbers. However, since the domain is restricted to x ≥ -4, the function is one-to-one and has an inverse. The inverse is found by solving y = (x + 4)^2 for x, giving x = ±√y - 4. Since x ≥ -4, we take the positive root, so the inverse is f^(-1)(x) = √x - 4.

Determine Whether the Function Has an Inverse Function f−1(x)=x+4f ^ { - 1 } ( x ) = \sqrt { x } + 4f−1(x)=x​+4

Determine Whether the Function Has an Inverse Function $f ^ { - 1 } ( x ) = \sqrt { x } + 4$