The function is (c) (f.g)(x) = 24x^2 - 36x - 24; domain of all set of real numbers
<h3>How to determine the composite functions?</h3>
The given parameters are:
f(x) = 3x - 6; g(x) = 8x +4
The composite function is calculated as:
(f.g)(x) = f(x) * g(x)
This gives
(f.g)(x) = (3x - 6) * (8x + 4)
Expand
(f.g)(x) = 24x^2 + 12x - 48x - 24
Evaluate the difference
(f.g)(x) = 24x^2 - 36x - 24
The above function is a quadratic function;
Quadratic functions have a domain of all set of real numbers
Hence, the function is (c) (f.g)(x) = 24x^2 - 36x - 24; domain of all set of real numbers
Read more about composite functions at:
brainly.com/question/10687170
#SPJ1
Answer:
<h2>
64 degrees</h2>
Step-by-step explanation:
Lets find the third angle of the isosceles triangle that has an measure of 29 for one of the angles
Lets use the angle sum theorem and isosceles triangle definition
180=n+29+29
180=n+58
n+58=180
n=180-58
n=122
This angle is supplementary to one of the two congruent angles of the triangle that contains angle x
180=y+122
y+122=180
y=180-122
y=58
The triangle that has angle x is isosceles, thus we can use the following equation to find x
180=58+58+x
180=116+x
116+x=180
x+116=180
x=180-116
x=64 degrees
Sure the sin function is an odd function because sin (-Ф) = - sin (Ф)
Example: sin (- 30°) = - sin (30°) = -1/2
1,265 divided by 34 = 37.24
Answer:
The answer is option A.
∆BDC is a right angled triangle
Angles in a triangle add up to 180°
That's
z + 35 + 90 = 180°
z = 180 - 35 - 90
z = 55°
Alternate angles are equal
Angle DBC = Angle BDA
That's
35 = 7y
Divide both sides by 7
y = 5
y = 5 z = 55
Hope this helps you