Question 1:
For this case we must findknowing that:
By definition we have that, be two functions f (x) and g (x), then the composite function of f with g is:
In this case, they ask us for the function composed of g with f:
So, we have:
ANswer:
Question 2:
For this case, we must find the inverse function of , given by:
To do this, replace g(x) with y:
We exchange variables:
We solve for "y":
Replace "y" with
So, we have:
Answer:
Question 3:
For this case, we have by definition, the domain of a function f (x), is the set of all the values for which the function is defined.
We must find the domain of the following function:
It is observed that the function is not defined for
Then the domain is given by all the values of x, except 0.
for any integer n
Answer:
All numbers, except
9514 1404 393
Answer:
E. The transformation of f obtained by adding 4 to the input of f
Step-by-step explanation:
The expected graph was ...
g(x) = f(x -4) . . . . . subtracting 4 from the input.
This transformation has the effect of shifting the graph 4 units to the <em>right</em>.
__
The student's graph is of f(x) shifted 4 units to the left, equivalent to a right shift of -4, hence a graph of ...
g(x) = f(x -(-4))
g(x) = f(x +4) . . . . . . adding 4 to the input (choice E)
Therefore the standard form of the circle is
Step-by-step explanation:
Given
Therefore the standard form of the circle is
Answer:
C.
Step-by-step explanation:
I think im right!
Hopefully it helps!
Answer:
x = -2, y = 5/3
Step-by-step explanation:
we have the value of x already (-2).
x=-2
Plug it into the first equation y = 2/3x+3
y = 2/3(-2)+3
y = -4/3+3
y = -4/3+9/3
y = 5/3
x = -2, y = 5/3