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:
In simplest form it is 25 over 9
0.14 in fraction form is 7/50
There are 792 different ways of choosing 5 books from a shelf containing 12 books. This problem can be solved using the combination formula of mathematics. The combination formula of mathematics is a number of way of selecting thing from a collection and the formula stated as n(n-1)...(n-k+1)/k(k-1)...1 (Calculation: 12*11*10*9*8/5*4*3*2*1 = 95040/120 = 792)<span>.</span>
Answer:
or 
The graph in the attached figure
Step-by-step explanation:
we have
Solve for x
Adds 2 both sides
Adds 8x both sides
Divide by 8.2 both sides
Remember that
substitute
Simplify
or
The solution is the interval ------> (-∞, 45/41)
All real numbers less than 45/41
In a number line , the solution is the shaded area at left of x=45/41 (open circle)
The graph in the attached figure
