Answer:
x = - 
Step-by-step explanation:
To find f(g(x)) substitute x = g(x) into f(x), that is
f(g(x))
= f(x + 1)
= 2(x + 1)² ← expand using FOIL
= 2(x² + 2x + 1) ← distribute
= 2x² + 4x + 2
To find g(f(x)) substitute x = f(x) into g(x), that is
g(f(x))
= g(2x²)
= 2x² + 1
----------------------------------------------------------
Equating gives
2x² + 4x + 2 = 2x² + 1 ( subtract 2x² + 1 from both sides )
4x + 1 = 0 ( subtract 1 from both sides )
4x = - 1 ( divide both sides by 4 )
x = -
Answer:
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Description
DescriptionIn mathematics, a zero of a real-, complex-, or generally vector-valued function, is a member of the domain of such that vanishes at; that is, the function attains the value of 0 at, or equivalently, is the solution to the equation. A "zero" of a function is thus an input value that produces an output of
Answer:
is the fraction of 8th graders who are boys.
Step-by-step explanation:
Let total number of 8th graders = 
Given that, 
of 8th graders play sports
8th graders who play sports = 
Also, Given that, 
of 8th graders that play sports are boys
Number of 8th graders that play sports, and are boys = 
Hence, the answer is:
is the fraction of 8th graders who are boys.
<span>In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The short leg is </span>the side opposite the 30 degree angle. If the short leg =x, then the hypotenuse = 2x
The ratio of the short leg to the hypotenuse in the given triangle is cos(60°)
Answer is C. 1:2
Answer:
B
Step-by-step explanation:
just go for it
