Find the inverse of the function. State any restrictions on the domain.

f(x) = x^2 + 9

The function is not invertible if you think of it as

because it is not injective:

So, if we restrict the domain to the positive numbers only:

Note that the range is actually , so we can be more precise and write

To find the inverse, we solve the expression for x:

But since we restricted to positive values of x, the inverse is

the answers are in the images, i received 100% on this assignment. hope this !

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.