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Answer: the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.
Step-by-step explanation:
since f(x) = x + 4 and g(x) = x - 1
then f/g = x + 4/x - 1
the denominator of a function cannot be zero since a fraction with a denominator of zero is undefined.
∴ x - 1 ≠ 0
the value of x when g(x) = 0 is
x - 1 = 0
x = 1
∴ x ≠ 1
Therefore the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.
The equation of the line is y= 3 - 2x.
<h3>What is equation?</h3>
An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
Coordinates (0, 3) and (2, -1)
So,
slope = -4/2=-2
and equation of line is
(y- y1) = m (x- x1)
y-3 = (-2)(x-0)
y-3 = -2x
y= 3 - 2x
Hence, the equation of line is y= 3 - 2x.
Learn more about equation of line here:
brainly.com/question/12788590
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Answer:
Bolded below are the answers
Step-by-step explanation:
4568 ÷ 8
(4000 ÷ 8) + (560 ÷ 8) + (8 ÷ 8)
500 + 70 + 1
571
Hope this helps!
