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allsm [11]
2 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]2 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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Find the diffrence between -2 and 7 on the number line
lozanna [386]

Answer:

9 units

Step-by-step explanation:

Calculate the absolute value of the difference, that is

| - 2 - 7 | = | - 9 | = 9 , or

| 7 - (- 2) | = | 9 | = 9

5 0
3 years ago
What is 38 + 7k = 8(k + 4)
lisov135 [29]

Steps

38 + 7k = 8k + 32

38 + 7k - 38 = 8k + 32 - 38

7k = 8k - 6

7k - 8k = 8k - 6 - 8k

-k = -6

-k/-1 = -6/-1

k = 6

Answer

k = 6

3 0
2 years ago
Am i correct. If not please explain why.
Greeley [361]

Answer:

you are correct

Step-by-step explanation:

6 0
3 years ago
Move the dot -(-E) on the number line. E=3.5
lidiya [134]
The correct answer is n the un
3 0
2 years ago
Please help im so confused!!??
victus00 [196]
The formula for the surface area of a cone is SA=(pi)(r^2)+(pi)(r)(l)

L is the slant height of the cone.
Because pi is in the answer choices, there is no need to multiply either by pi so the new formula becomes
SA=r^2+(r)(l)
Now you just plug in what you know
Sa=(8^2) + (8)(15)
Sa=64+120
Sa=184(pi)

*dont forget to put the pi back in since you took it out in the beginning of the equation*

Your answer is A.

Hope this helps :)
8 0
3 years ago
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