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irina [24]
3 years ago
13

PLEASE HELP!!! Given the functions, f(x) = 6x + 2 and g(x) = x - 7, perform the indicated operation. When applicable, state the

domain restriction. (f/g)(x)
Mathematics
2 answers:
Brums [2.3K]3 years ago
4 0

Answer:

The domain restriction for (f/g)(x) is x=7

Step-by-step explanation:

we have

f(x)=6x+2

g(x)=x-7

so

(f/g)(x)=\frac{6x+2}{x-7}

Remember that

the denominator can not be equal to zero

so

Find the domain restriction

x-7=0

x=7

therefore

The domain is all real numbers except the number 7

(-∞,7)∪(7,∞)

tatyana61 [14]3 years ago
3 0

Answer with Step-by-step explanation:

We are given that:

f(x)=6x+2

and g(x)=x-7

So,

(f/g)(x)=\dfrac{f(x)}{g(x)}

(f/g)(x)=\dfrac{6x+2}{x-7}

For the above function to be well defined  the denominator has to be non-zero

So,

the domain restriction  is:

x-7≠0

x≠7

Therefore

The domain is all real numbers except the number 7

i.e. the domain is: (-∞,7)∪(7,∞)

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1

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2 years ago
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Factor completely 5ax2 − 20x3 2a − 8x. (a 4x)(5x2 2) (a 4x)(5x2 − 2) (a − 4x)(5x2 2) (a − 4x)(5x2 − 2).
antiseptic1488 [7]

The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.

<h3>What is polynomial?</h3>

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Factor completely 5ax² − 20x³ + 2a − 8x.

Take 5x² common from the first two terms and 2 from the last two terms. we have

5ax² − 20x³ + 2a − 8x

5x²(a − 4x) + 2 (a − 4x)

Take (a - 4) common, then we have

(5x² + 2) (y − 4x)

The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.

More about the polynomial link is given below.

brainly.com/question/17822016

8 0
2 years ago
Determine the next step for solving the quadratic equation by completing the square.
Studentka2010 [4]

Answer:

The solutions are x=\frac{1+\sqrt{7}}{2} and x=\frac{1-\sqrt{7}}{2}

Step-by-step explanation:

we have

0=-2x^{2}+2x+3

Group terms that contain the same variable, and move the constant to the opposite side of the equation

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Factor the leading coefficient

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Complete the square. Remember to balance the equation by adding the same constants to each side.

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-3.5=-2(x^{2}-x+0.5^{2})

Rewrite as perfect squares

-3.5=-2(x-0.5)^{2}

7/4=(x-0.5)^{2}

square root both sides

x-0.5=(+/-)\sqrt{\frac{7}{4}}

x-\frac{1}{2}=(+/-)\frac{\sqrt{7}}{2}

x=\frac{1}{2}(+/-)\frac{\sqrt{7}}{2}

x=\frac{1+\sqrt{7}}{2}

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4 0
3 years ago
The lifetime of a machine part has a continuous distribution on the interval​ (0, 50​) with probability density function​ f, whe
Strike441 [17]

Answer:

Probability that the lifetime of the machine part is less than 13 = 0.6782

Step-by-step explanation:

given that f(x)=(10+x)^{-2}

Normalizing the function we get

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\int_{0 }^{50}c(10+x)^{-2}dx=1

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3 years ago
What is the remainder?
Alenkasestr [34]

Answer:

b

Step-by-step explanation:

I did that

4 0
3 years ago
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