Answer:
d
Step-by-step explanation:
sqaure root of both times each other gives 5
Hello!
![\large\boxed{\text{B. } k(x) = (-x + 3)^{\frac{1}{2} }}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Ctext%7BB.%20%7D%20k%28x%29%20%3D%20%28-x%20%2B%203%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%7D%7D)
We can look at each answer choice to verify whether it has a restricted domain or not:
A. ![f(x) = (3x)^{\frac{1}{5}} - 4](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%283x%29%5E%7B%5Cfrac%7B1%7D%7B5%7D%7D%20-%204)
This is a function similar to a cubic root function. Its domain is (-∞, ∞), so it has no restriction.
B. ![k(x) = (-x + 3)^{\frac{1}{2}}](https://tex.z-dn.net/?f=k%28x%29%20%3D%20%28-x%20%2B%203%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
This is a square root function. This graph only consists of x-values in the interval (3, ∞) because you cannot take the square root of a negative number. This function has a restricted domain.
C.
This is a cubic function, so it has an interval of (-∞, ∞)
D. ![h(x) = (4x)^{2} - 5](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%284x%29%5E%7B2%7D%20-%205)
This is a quadratic function, which has no domain restriction.
Therefore, the correct answer is B.
Answer:
c = 10.6
Step-by-step explanation:
c² = a² + b²
c² = 7² + 8²
c² = 49 + 64
c² = 113
Take the square root of both sides
c = 10.6301458127
Rounded
c = 10.6