I just know that the answer is not f(x) by itself. I don't know if it's f(x) with g(x). Or not enough information
Answer:
3700 m.
Step-by-step explanation:
3.7km= 3.7* 1000
3.7 km = 3700 m
For this case we must find the product of the following expression:
![\sqrt [3] {5} * \sqrt {2}](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B5%7D%20%2A%20%5Csqrt%20%7B2%7D)
By definition of properties of powers and roots we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
We rewrite the expression using the lowest common index of 6, then:

We rewrite the terms in an equivalent way:

We rewrite the expression using the property mentioned:
![\sqrt [6] {5 ^ 2} * \sqrt [6] {2 ^ 3} =](https://tex.z-dn.net/?f=%5Csqrt%20%5B6%5D%20%7B5%20%5E%202%7D%20%2A%20%5Csqrt%20%5B6%5D%20%7B2%20%5E%203%7D%20%3D)
We combine using the product rule for radicals:
![\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%7D%20%2A%20%5Csqrt%20%5Bn%5D%20%7Bb%7D%20%3D%20%5Csqrt%20%5Bn%5D%20%7Bab%7D)
So:
![\sqrt [6] {5 ^ 2 * 2 ^ 3} =\\\sqrt [6] {25 * 8} =\\\sqrt[6]{200}](https://tex.z-dn.net/?f=%5Csqrt%20%5B6%5D%20%7B5%20%5E%202%20%2A%202%20%5E%203%7D%20%3D%5C%5C%5Csqrt%20%5B6%5D%20%7B25%20%2A%208%7D%20%3D%5C%5C%5Csqrt%5B6%5D%7B200%7D)
ANswer:
Option b
Answer:
g(x) = -∛(x-7)
Step-by-step explanation:
Reflection in the y-axis changes the sign of x, so after this transformation, the function is ...
g(x) = f(-x)
Then, translation 7 units to the right replaces x by (x-7), so after both transformations, the function is ...
g(x) = f(-(x -7)) = f(-(x -7))
Using the given definition for f(x), we have ...
![g(x)=\sqrt[3]{-(x-7)}\\\\g(x)=-\sqrt[3]{x-7}](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7B-%28x-7%29%7D%5C%5C%5C%5Cg%28x%29%3D-%5Csqrt%5B3%5D%7Bx-7%7D)