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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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Full proof below

Step-by-step explanation:

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What is the domain of the function?<br> x + 3<br> f(x) =<br> VX + 3
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Your question is a little ambiguous, but I am assuming that you meant to say the function f(x) = x+3

Thus, I am solving your question based on assuming the function such as

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But, it would still clear your concept, no matter what the function is.

Answer:

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The graph is also attached.

Step-by-step explanation:

Given the function

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As the function has no undefined points nor domain constraints.

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The graph is also attached.

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Step-by-step explanation:

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