What is the domain and range of the inverse of: f (x)= (x + 2)² - 1

The inverse of this function is a parabola that has been rotated 90 degrees clockwise, with it's vertex at point 1, 0.

So it's domain is x ≥ 1

And it's range is y ≥ -2

Step-by-step explanation:

Given:

f(x) = (x + 2)² - 1

First we find the inverse:

x = (f(x) + 2)² - 1

x - 1 = (f(x) + 2)²

√(x - 1) = f(x) + 2

f(x) =  -2 ± √(x - 1)

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

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step-by-step explanation: