Answer:
Ponds are shallower than lakes.
Step-by-step explanation:
we are given
![f(x)=\frac{1}{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7Bx%7D)
![g(x)=\sqrt{x+5}](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%7Bx%2B5%7D)
Calculation of (f/g)(x):
![(\frac{f}{g})(x)=\frac{f(x)}{g(x)}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%28x%29%3D%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D)
now, we can plug values
![(\frac{f}{g})(x)=\frac{\frac{1}{x}}{\sqrt{x+5}}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%28x%29%3D%5Cfrac%7B%5Cfrac%7B1%7D%7Bx%7D%7D%7B%5Csqrt%7Bx%2B5%7D%7D)
now, we can simplify it
![(\frac{f}{g})(x)=\frac{1}{x\sqrt{x+5}}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%29%28x%29%3D%5Cfrac%7B1%7D%7Bx%5Csqrt%7Bx%2B5%7D%7D)
Domain:
we know that domain is all possible values of x for which any function is defined
function will be undefined when denominator =0
![x\sqrt{x+5} =0](https://tex.z-dn.net/?f=x%5Csqrt%7Bx%2B5%7D%20%3D0)
![x=-5,x=0](https://tex.z-dn.net/?f=x%3D-5%2Cx%3D0)
we are given sqrt function
and we know that value inside sqrt will always be greater than 0
![x+5>0](https://tex.z-dn.net/?f=x%2B5%3E0)
![x>-5](https://tex.z-dn.net/?f=x%3E-5)
so, domain will be
..............Answer
Answer: The population this year is 35
Step-by-step explanation:
We are given the information that , the fish population decreased by 25% last year and this year meaning that in all it decreased by 50%. And last year it was 60 fish meaning that this year, it will be decreased by 50% . If is being decreased by 50% , 50% will be left.
So multiply 50% by 60 to find the population this year.
60 * 75% =
60 * 0.75 = 30
Answer:
Your Answer would be 1000 my friend :D