Step-by-step explanation:
f o g(x)
= f(x - 4)
= (x - 4) + 7
= x + 3.
Answer:For the cube root function f(x)=3√x f ( x ) = x 3 , the domain and range include all real numbers. Note that there is no problem taking a cube root, or any odd-integer root, of a negative number, and the resulting output is negative (it is an odd function).
Step-by-step explanation:
Answer:
1.
2. undefined
3. .
4. .
5. .
6.
Step-by-step explanation:
1. The required line passes through . The slope of the line joining the points is given by the formula,
or
Either of them yields the same result.
Substitute into the first formula to get,
You can write this as a mixed number to obtain:
2. The given line passes through .
Observe that the first coordinates are the same for both points. This implies that, the line is vertical.
The slope of all vertical lines are undefined.
3. The average rate of change of the function on the interval is given by:
.
The given function is
.
.
4. The given function is
.
.
5. From the graph
.
.
.
6. The given equation is :
Add to both sides.
Divide through by 2.
Compare this function to
The slope is
Answer:
y = m x + b.23
Step-by-step explanation:
Multiply the first bracket by -4. Multiply the second bracket by -2
-8x+12y+4x-2x-12
Negative and Negative = Positive
Negative and Positive = Negative
Then do -8x+4x-2x
= -6x+12y-12
Answer is D. -6x+12y-12