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}
Answer:
f(4)=26
Step-by-step explanation:
f(2)=16
F(x) = kx+6
16=k(2)+6
16-6=k(2)
10=k(2)
<u>10</u> =<u>k(</u><u>2</u><u>)</u>
2 2
5= k
f(4)=k(4)+6
=5(4)+6
=20+6
f(4)=26
Answer:
D. 220.16 Square feet
Step-by-step explanation: The shaded area is the space in the square not filled by the circle. So we need to find the area of the circle. The formula for area of a circle is 
. So we fill in this equation with the information we already know:
Simplify the exponents
Multiply
So now we know the area of the circle we have to find the area of the square because the circle is inside the square. It is a simple 
which is 1,024. Since we are looking for the shaded area we will subtract the area of the circle from the area of the square because the circle is not shaded.
1024-803.94= 220.16 square feet
Answer: 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
To move the graph 6 units to the right, subtract 6 in the absolute value.
y=|x+5-6|
To move it up, add 2 outside the absolute value.
y=|x+5-6|+2
Now remove the absolute values since x>1.
y=x+5-6+2
y=x+1
