Answer:
10x
Step-by-step explanation:
By definition
![(f\codt g)(x)=f(x)\cdot g(x)](https://tex.z-dn.net/?f=%28f%5Ccodt%20g%29%28x%29%3Df%28x%29%5Ccdot%20g%28x%29)
So we just need to multiply the two functions
![(f\cdot g)(x)= f(x)\cdot g(x)\\=\sqrt{2x}\cdot \sqrt{50x}\\=\sqrt{(2x)\cdot (50x)}=\sqrt{100x^2}\\=10\sqrt{x^2}\\=10x \text{ since x is non negative}](https://tex.z-dn.net/?f=%28f%5Ccdot%20g%29%28x%29%3D%20f%28x%29%5Ccdot%20g%28x%29%5C%5C%3D%5Csqrt%7B2x%7D%5Ccdot%20%5Csqrt%7B50x%7D%5C%5C%3D%5Csqrt%7B%282x%29%5Ccdot%20%2850x%29%7D%3D%5Csqrt%7B100x%5E2%7D%5C%5C%3D10%5Csqrt%7Bx%5E2%7D%5C%5C%3D10x%20%5Ctext%7B%20since%20x%20is%20non%20negative%7D)
Answer:
b
Step-by-step explanation:
The main reason behind this is using properties of logarithm .
like
when solving
There you use multiplication property and make addition to multiplication then you get extraneous solution because in plenty of cases they occur
like
But
Same happens in case of logarithm
Answer:
1/3
Step-by-step explanation:
5/6-x=1/2
x=5/6-1/2
x=5/6-3/6
x=2/6
simplify
x=1/3
All of given options contain quadratic functions. One way to determine the extreme value is squaring the expression with variable x.
Option B contain the expression where you can see perfect square. Thus, equation
(choice B) reveals its extreme value without needing to be altered.
To determine the extreme value of this equation, you should substitute x=2 (x-value that makes expression in brackets equal to zero) into the function notation:
The extreme value of this equation has a minimum at the point (2,5).