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Akimi4 [234]
3 years ago
5

Let f(x) = x^2 + 4x and g(x) = |1 - x|. Evaluate (f o g)(2)

Mathematics
1 answer:
Readme [11.4K]3 years ago
8 0
So exg
if
f(x)=2x
g(x)=3x
then (f o g)(x)=f(g(x))=f(x)=2(3x)
so f o g(2) means in this equation
subsitute 2 for x
(f o g)(2)=f(g(2))=(|1-2|)^2+4(|1-2|)


the x in the f(x)  is g(x)so  first evaluate g(2)
so
g(2)=|1-2|=|-1|=1
g(2)=1
then
f(1)=1^2+4(1)=1+4=5

the answer is 5
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2 years ago
Midpoint of (1,3) and (4,-5)
crimeas [40]

Answer:

The rigth answer is, ( 5/2 , -1 )

Step-by-step explanation:

To find the midpoint we use the respective formula:

m = ( x1 + x2 / 2 ,  y1 + y2 / 2 )

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5 0
2 years ago
Every triangle in the figure at right is equilateral. What is the measure of ∠AGE?
Andrew [12]

Answer:

120°

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All the angles of an equilateral triangle are equal, and hence have a measure of 60°.

∵ ∠AGF is a part of equilateral Δ AGF, m∠AGF = 60°.

∵ ∠FGE is a part of equilateral Δ AGF, m∠FGE = 60°.

Also note that ∠AGE = ∠AGF + ∠FGE.

⇒ m∠AGE = m∠AGF + m∠FGE

⇒ m∠AGE  = 60° + 60°

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7 0
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