If n is rational, it means that

Therefore when we do n² we can write it as

Remember that the product of two integer numbers is also an integer, therefore we can guarantee that

Then we can confirm that n² is the quotient of two integers and the denominator is not zero, therefore, n² is always rational, it cannot be an irrational number
True.
E.g. (x-1)(x-2) versus 100(x-1)(x-2)
They have same roots of x= 1 or 2, but the second equation is 100 times stretching of the first one vertically
We have been given a graph of function g(x) which is a transformation of the function 
Now we have to find the equation of g(x)
Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.
First you should check the graph of 
You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.
Now the given graph has asymptote at x=-2
which is just 2 unit down from the original asymptote x=0
so that means we need shift f(x), 2 unit down hence we get:

but that will disturb the y-intercept (0,1)
if we multiply
by 3 again then the y-intercept will remain (0,1)
Hence final equation for g(x) will be:

Answer:
4
Step-by-step explanation:
Answer:
The answer is 17
Step-by-step explanation:
To find the answer, we first have to put the values in for a and b.
√225 + ║2 - 3(1/3)(4)║
√225 + ║2 - 4║
√225 + ║-2║
√225 + 2
15 + 2
17