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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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Y = 3 - 5x <br><br><br> solve for x
boyakko [2]

Answer:

x = -1/5y + 3/5

Step-by-step explanation:

y = 3 - 5x

Subtract 3 from both sides;

y - 3 = -5x

Divide both sides by -5

-1/5y + 3/5 = x

4 0
3 years ago
A credit card company charges 22% interest fee on any charges not paid at the end of the month.. If the bill totals $450 for thi
34kurt

Answer:

B

Step-by-step explanation:

Because

4 0
3 years ago
Answer me before tomorrow
Margarita [4]

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8 0
3 years ago
A textbook store sold a combined total of 438 biology and psychology textbooks in a week. The number of psychology textbooks sol
Liono4ka [1.6K]
<h2>Answer:</h2>

Number of biology textbooks sold: 257 textbooks

Number of psychology textbooks sold:​ 181 textbooks

<h2>Explanations:</h2>

Let the total number of biology textbook sold be "a"

Let the total number of psychology textbook sold be "b"

If a textbook store sold a combined total of 438 biology and psychology textbooks in a week, then:

a + b = 438 ................... 1

If the number of psychology textbooks sold was 76 less than the number of biology textbooks sold, then;

b = a - 76 ...................... 2

Substitute equation 2 into 1

a + (a-76) = 438

a + a - 76 = 438

2a = 438 + 76

2a = 514

a = 514/2

a = 257 biology textbooks

From equation 2;

b = a - 76

b = 257 - 76

b = 181 psychology textbooks

Number of biology textbooks sold: 257 textbooks

Number of psychology textbooks sold:​ 181 textbooks

7 0
1 year ago
given the following system of equations, identify the type of system.x y = 6y = 3 - xconsistentinconsistentequivalent
lapo4ka [179]
Inconstant as there is no solution
8 0
3 years ago
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