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2 years ago

Pls help me ASAP and ill give brainliest

Mathematics

1 answer:

KIM [24]2 years ago

8 0

Answer:

The answer is A

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Determine the domain of the function (fog)(x) where f(x)=3x-1/x-4 and g(x)=x+1/x

Katarina [22]

Answer: (-∞,-1) ∪ (0,+∞)

Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.

In this case, fog(x) means:

fog(x) = f(g(x))

fog(x) = $3(x+\frac{1}{x} )-\frac{1}{x+\frac{1}{x} } -4$

$fog(x)=3x+\frac{3}{x} -\frac{1}{\frac{x^{2}+x}{x} } -4$

$fog(x)=3x+\frac{3}{x} -\frac{x}{x^{2}+x} -4$

$fog(x)=\frac{3x^{2}(x^{2}+x)+3(x^{2}+x)-x-4x(x^{2}+x)}{x(x^{2}+x)}$

$fog(x)=\frac{3x^{4}+3x^{3}+3x^{2}+3x-x-4x^{3}+4x^{2}}{x(x^{2}+x)}$

$fog(x)=\frac{3x^{4}-x^{3}-x^{2}+2x}{x(x^{2}+x)}$

This is the function fog(x).

The domain of a function is all the values the independent variable can assume.

For fog(x), denominator can be zero, so:

$x(x^{2}+x) \neq 0$

If x = 0, the function doesn't exist.

$x^{2}+x \neq0$

$x(x+1) \neq0$

$x+1\neq0$

$x\neq-1$

Therefore, the domain of this function is: -∞ < -1 or x > 0

5 0

2 years ago

What is the probability a customer ordered a small, given that he or she ordered a hot drink?

disa [49]

Answer:

i don no

Step-by-step explanation:

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2 years ago

Which expression is equivalent to 1/3/?

Rzqust [24]

Answer:

2\5,3\7,4\9,5\11

Thats the answer

3 0

2 years ago

Help plz this is a mastery test

oee [108]

Answer:

8 1/30

Step-by-step explanation:

Calculate by converting into improper fractions.

7 0

2 years ago

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If CD is the perpendicular bisector of AB, then the value of x is:

amm1812

In ΔCAD and ΔCBD,

CD = CD [ Common side ]

AD = BD [ CD is the perpendicular "bisector" of AB ]

∠CDA = ∠CDB [ CD is the "perpendicular" bisector of AB ]

Thus, ΔCAD and ΔCBD are congruent triangles. [ SAS congruency ]

If these triangles are congruent, then AC = BC.

2x = 3x -10

x = 10.

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3 years ago

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