Answer:
Domain : {x | all real numbers} ; Range: {y | y > 0}
Step-by-step explanation:
The function can be written as :
![f(x)=\sqrt[\frac{2}{3}]{108^{2\cdot x}}\\\\\implies f(x)=(108)^{(\frac{3}{2})^{2\cdot x}}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B%5Cfrac%7B2%7D%7B3%7D%5D%7B108%5E%7B2%5Ccdot%20x%7D%7D%5C%5C%5C%5C%5Cimplies%20f%28x%29%3D%28108%29%5E%7B%28%5Cfrac%7B3%7D%7B2%7D%29%5E%7B2%5Ccdot%20x%7D%7D)
Now, since x is exponent so it can take any real values. So, its domain of f(x) is all real numbers
But value of f(x) can not be less than 1 because for x = 0 the value of f(x) is 1 and also for any values of x, the value of f(x) can never be less than 1
So, Range of f(x) is all real numbers greater than 0
Hence, Domain and Range of f(x) is given by :
Domain : {x | all real numbers} ;
Range: {y | y > 0}
Perimeter is 2width+2length
Therefore since you already know that the perimeter is 60 and the length is 14 you can set up the equation;
60= 2w+14
with this you then need to find w so;
60=2w+14
-14 -14
46=2w
(46/2)=(2w/2)
13=w
The width is 13
<span>180
n is the number of games. In this case it is 15. Enter this number into the function:
b(n) = 12n = 12(15) = 180.
Simply put, 12 balls are needed for each game.
15 x 12 = 180</span>
Answer:
22h - 9
Step-by-step explanation:
14h + 12 - 8h - 3
14h + 8h + 12 - 3
22h + 12 - 3
22h + 9
Answer:
y = 5
Step-by-step explanation:
3(у - 3) - 2(у -4) = 4
Distribute
3y -9 -2y +8 =4
Combine like terms
y -1 =4
Add 1 to each side
y-1+1 = 4+1
y = 5
