Answer:

Step-by-step explanation:
The given functions are
and
.
We now composed the two functions to find:




This function is defined if the denominator is not zero.


We write this in interval notation as:

We need to be cautious here as x=0 is not in the domain of g(x).
Therefore the domain of
is

Answer:
An equilateral triangle is a triangle in which all three sides are equal. An equilateral triangle is also equiangular, in which all three internal angles are also congruent to each other and are each 60°.
Parallelogram and rhombus possibly.
Trapezoid.
Answer:
Sine - opposite : hypotenuse
Cosine - adjacent : hypotenuse
Tangent - opposite : adjacent
Cosecant - hypotenuse : opposite
Secant - hypotenuse : adjacent
Cotangent - adjacent : opposite
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succes
Answer:
y = - 2x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (1, 4 ) and (x₂, y₂ ) = (2, 2 )
m =
=
= - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 2 ) , then
2 = - 4 + c ⇒ c = 2 + 4 = 6
y = - 2x + 6 ← equation of line