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Answer:
Step-by-step explanation:
m (x) = (x+ 5) / (x -1) and n(x) = x - 3.
Hence
but n is a function and n = x-3. Now, replace value of n on m (n)
simplify it
since (m . n) (x) is a fraction function, its domain will be all x such that the denominator is NOT 0. That is
among options, only C has the same denominator with
Hence their domains are the same.
Answer:
y = - x + 3
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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 9, 6)
m = =
= -
, hence
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 9, 6), then
6 = 3 + c ⇒ c = 6 - 3 = 3
y = - x + 3 ← in slope- intercept form