Answer:
The domain of (f*g) (x) is the set of all real numbers; ( -∞, ∞)
Step-by-step explanation:
(f*g) (x) simply means we obtain the product of f(x) and g(x). We are given that;
f(x)=2x
g(x)= 1/x
(f*g) (x) = f(x) * g(x)
(f*g) (x) = 2x * 1/x = 2
This is a horizontal line defined everywhere on the real line. The domain of (f*g) (x) is thus ( -∞, ∞)
Look carefully at the first pair: (−3, 9), (−3, −5) Note that x does not change, tho' y does. This is how we recognize a vertical line (whose slope is undefined). The equation of this vertical line is x = -3.
Looking at the second pair: from (3,4) to (5,6), x increases by 2 and y by 2; thus, the slope is m = rise/run = 2/2 = 1.
Third pair: as was the case with the first pair, x does not change here, and thus the equation of this (vertical) line is x=0 (which is the y-axis). The slope is undefined.
Answer:
2
Step-by-step explanation:
Answer:
A. 729 cu in
Explanation:
Step 1: 9x9 = 81
Step2: 81x9 = 729
Answer:
°
Step-by-step explanation:
The angle shown in the figure is known as an external angle.
Also, <u>in a regular polygon (like the regular octagon) the sum of all the exterior angles is the same regardless of the number of sides of the figure</u>:
°
And to find the measure of a single external angle (such as the angle
shown in the figure) we must <u>divide 360 ° by the number of sides n:</u>

and for the regular octagon, since it has 8 sides:

so the value of x is:
°
the measure of angle x is 45° which is the second option