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allsm [11]
3 years ago
6

What is the domain of f/g given f(x) = x+4 and g(x) = x-1

Mathematics
1 answer:
Butoxors [25]3 years ago
5 0

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.

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Answer:

(-1, 0)

Step-by-step explanation:

output = 0 the function’s graph will have an x-intercept

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3 years ago
What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
djyliett [7]

Answer:

  5π, about 15.708 units

Step-by-step explanation:

A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...

  C = πd

For a diameter of 5 units, the circumference is ...

  C = π(5) = 5π = 15.708 . . . units

_____

<em>Additional comment</em>

The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...

 3² + 4² = 9 +16 = 25 = 5²

That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.

6 0
3 years ago
1. Jackie is a toll booth employee. One day, she wrote the expression: 0.75m = 15.75
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Question B) you want to take 0.75, divide it to both sides and you get m= 21          0.75m=15.75      m =  21                                                                                     ___________  =                                                                                                          0.75             
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Find the slope of the line that passes through (50, -70) and (77, 62). Simplify your answer and write it as a proper fraction, i
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Step-by-step explanation: ¯\_(ツ)_/¯

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Answer:

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Step-by-step explanation:

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