Answer:
(-∞,∞)
Step-by-step explanation:
The domain is all possible x values of the function
There are no constraints or holes for this and therefore the domain is all real numbers
Easy
f(g(1))
evaluate g(1) then plug thatin for x in f(x)
g(1)=(x+2)/3
g(1)=(1+2)/3
g(1)=1
f(g(1))=
f(1)=(1)^2+3(1)+6
f(1)=1+3+6
f(1)=10
f(g(1))=10
Answer:
F-1(x)=x+8
Step-by-step explanation:
What is the inverse of y=r? + 8?
I hope this help.
<h3>
Answer: Choice E</h3>
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Explanation:
Think of 25 as 25/1 and 5 as 5/1
Choice E is really saying 
which becomes 
. Note the second fraction flips and we change to a multiplication sign.
------------
Or you could think of it like this:
to help see why the answer is E.
Answer:
D₁ = 68°
Step-by-step explanation:
If AB = BE then ΔABE is an isosceles triangle, therefore A₁ = E₁.
If A₁ = 28° then E₁ = 28°.
<u>Opposite sides</u> of a parallelogram are <u>parallel</u>.
Using the Alternate Interior Angles Theorem:
A₂ = E₁ = 28°
Therefore, A = A₁ + A₂ = 28° + 28° = 56°
<u>Opposite angles</u> in a parallelogram are <u>equal</u>.
Therefore, C = A = 56°.
<u>Opposite sides</u> of a parallelogram are <u>equal in length</u>, so AB = CD.
If AB = DE = CD then ΔCDE is an isosceles triangle.
Therefore, C = E₃ = 56°.
Interior angles of a triangle sum to 180°.
⇒ D₁ + C + E₃ = 180°
⇒ D₁ + 56° + 56° = 180°
⇒ D₁ + 112° = 180°
⇒ D₁ = 180° - 112°
⇒ D₁ = 68°
