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FrozenT [24]
3 years ago
15

What is the domain of the function? f(x) square root of x+1 over (x+4)(x-6)

Mathematics
1 answer:
Radda [10]3 years ago
5 0

Answer:

[-1,6)U(6, ∞)

Step-by-step explanation:

f(x) = \frac{\sqrt{x+1}}{(x+4)(x-6)}\\

In functions that have a square root, the radicand (the inside of the root) has to be ≥0. Otherwise, you would be dealing with imaginary numbers.

So, in our function,

x+1 \geq0\\x\geq-1

We have two factors in our denominator. Note that you cannot divide by 0. So to find where x <em>cannot </em>be, we have to set the denominator to 0.

(x+4)(x-6)=0\\x+4=0 \\x-6 = 0\\\\x=-4\\x=6

X cannot be either -4 or 6.

So, x has to be greater than or equal to -1 and cannot equal -4 or 6.

x≥-1, x≠6

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Plz help Large cheese pizzas cost $5 each and large one-topping pizzas cost $6 each write an equation that represents the total
Komok [63]

Answer:

T = 5c +5d,    where unit of the equation is $.

Step-by-step explanation:

Cost of 1 large cheese  pizza = $5

No. of large cheese pizza = c

therefore

cost of c  large cheese pizza = c*Cost of 1 large cheese  pizza = $5c

Cost of 1 large one topping  pizza = $6

No. of large one topping pizza = d

therefore

cost of d  large one topping pizza = d*Cost of 1 large one topping  pizza =             cost of d  large one topping pizza = $6d  

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= $5c +$6d

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thus, T = $5c +$5d  Answer

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3 years ago
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kumpel [21]

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y= -6x+2

Step-by-step explanation:

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PtichkaEL [24]
You can spend 3.57 per square foot of carpet. You take 14*14 and then you take that number and divide 700 by it
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3 years ago
Simplify (3x)-1. A. 81x^4. B. 4x^6. C. 1/3x. D. 1/x^6
elena55 [62]
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(3x)^-1 = 1/3x

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hope this helps
3 0
3 years ago
12.
Llana [10]

Answer:

9 Miles to be specific 8.95

Step-by-step explanation:

3 miles = 4.83 km

4.83 km = 4830 m

60 seconds X 45 =2700 Seconds

4830 divided by 2700 = 1.78 m/s

you want to know the distance so its speed X time

135 minutes X 60 seconds = 8100 secs

1.78 m/s X 8100 =14418 meters

14418 = 14.418 km

14.418 km = 9 miles

P.S. There is a shorter version but i think this is simpler for me and I use metric units.

8 0
2 years ago
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