Answer:
(fg)(x) = 6x³ - 2x² + 12x - 4
Step-by-step explanation:
( f g ) ( x ) = f ( x ) * g ( x )
f(x) = 2x² + 4
g(x) = 3x – 1
( f g ) ( x ) = (2x² + 4) (3x – 1)
= 6x³ - 2x² + 12x - 4
The equation of the circle is x² + y² = 25 and the transformation equation of the circle is x² + y² = 100.
<h3>What is the equation of the circle?</h3>
The following parameters are derived from the question:
(x - a)² + (y - b)² = r²
Center (a, b) = (0, 0)
Radius (r) = 5
Then the equation of the circle will be
x² + y² = 5²
x² + y² = 25
Then the transformation of the circle will be
Center (a, b) = (0, 0)
Radius (r) = 10
Then the equation of the circle will be
x² + y² = 10²
x² + y² = 100
More about the equation of circle link is given below.
brainly.com/question/10618691
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Answer:
Option A is correct.
Solution for the given equation is, 
Step-by-step explanation:
Given that : 
Let 
then our equation become;
.....[1]
A quadratic equation is of the form:
.....[2] where a, b and c are coefficient and the solution is given by;
Comparing equation [1] and [2] we get;
a = 2 b = -1 and c =-1
then;
Simplify:
or
or
and 
Simplify:
y = 1 and 
Substitute y = cos x we have;
⇒
and
⇒ 
The solution set: 
Therefore, the solution for the given equation is, 
