Answer:
Given the graph
and 
We have to find the value of k;
Since, g(x) = f(x) +k

Subtract
from both sides we get;

Add 2 to both sides we get;

Simplify:

or
k = 5
Therefore, the value of k = 5
They are equal...1/5 is half of 2/10
The answer is true.
Method 1:
The given function is a cubic function. And inverse of a cubic function is also a function.
Method 2:
Since the function is one-to-one function i.e it passes the horizontal line test, its function will pass the vertical line test which is a test if a relation is a function or not.
So, yes the inverse of G(x) will be a function.
Height over shadow
H/S
9 in is 9/12=.75
So
Boys height /shadow. Flags height /shadow
4.75/6= X/19
Cross multiply
6x= 90.25
Divide by 6
X= 15.0
Answer: D
Step-by-step explanation:
If f(x) = 4x - 2 and g(x) = 2x + 7 then which of the following gives f(g(3))?
g(3) = 2*3+7 = 6+7 = 13
f(g(3))=f(13) = 4* 13 -2= 52 -2 = 50