3 years ago

What’s the answer to this problem?

Mathematics

1 answer:

motikmotik3 years ago

3 0

Answer is c 4.7ft...

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Rewrite 3√5^2 with a rational exponent.

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C. 5 2/3

Step-by-step explanation:

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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.

$x^{2}+x \neq0$

$x(x+1) \neq0$

$x+1\neq0$

$x\neq-1$

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

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3 years ago

katoni bought 1 1/2 dozen pencils . There are 12 pencils in a dozen . How many pencils did katoni buy?

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Yessirrrrrrrrrrrrrrrr

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2 years ago

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A circular well has a circumference of 7.85 yards. What us the diameter of the well

sergiy2304 [10]

15.7 that thy answer

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Four people each invested $450 in an account that earns simple interest assuming no other deposit or withdrawal were made witch

lina2011 [118]

Answer: $250

Step-by-step explanation: Step 1: Multiply $50 by 4 Step 2: Subtract $450 by $250 Step 3: Then you get $200 leftover

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