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3 years ago

Find (f/g) (x) and state the domain restriction. f (x) = 6x - 3 and g(x) = 12x^2 - 6x

Mathematics

1 answer:

Rufina [12.5K]3 years ago

8 0

9514 1404 393

Answer:

(f/g)(x) = 1/(2x)

x ≠ 1/2

Step-by-step explanation:

$(f/g)(x)=\dfrac{f(x)}{g(x)}=\dfrac{6x-3}{12x^2-6x}=\dfrac{6x-3}{2x(6x-3)}\\\\\boxed{(f/g)(x)=\dfrac{1}{2x}}\quad x\ne\dfrac{1}{2}$

The domain restriction x ≠ 1/2 comes from the requirement to prevent the denominator factor 6x-3 from being zero.

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The number of internet paid search ads is increasing as advertisers move away from traditional marketing methods. The equation y

blondinia [14]

Answer: In 2005 the amount spend on internet ads = $74.6 billions.

In 2009 spending on internet search ads will reach $102 billion .

Step-by-step explanation:

Given : The number of internet paid search ads is increasing as advertisers move away from traditional marketing methods.

The equation $y=6.9x+40.1$ can be used to project spending on internet search ads, in billions of dollars, x years after 2000.

To estimate spending on internet ads in 2005.

We need to put x= 5 in the above equation [∵2005-2000=5]

$y=6.9(5)+40.1$

$y=34.5+40.1$

$y=74.6$

i.e. In 2005 the amount spend on internet ads = $74.6 billions.

Put y= 102 in the given equation, we get

$102=6.9x+40.1$

$61.9=6.9x$ [Subtract 40.1 from both sides]

$x=\dfrac{61.9}{6.9}=\dfrac{619}{69}=8.97101449275\approx9$

And 2000+9=2009 [x is the number of years after 2000]

Hence, in 2009 spending on internet search ads will reach $102 billion .

3 0

3 years ago

Can someone help me <br> What one

Sav [38]

Answer:

try the second one sorry if its wrong report me if it is

Step-by-step explanation:

hope this help

5 0

3 years ago

Which is the graph of f(x) = (x – 1)(x + 4)?

Arada [10]

Answer:

The fourth graph (last graph)

Step-by-step explanation:

Remember that the zeros of a function are the x-intercepts of the graph. To find the zeros we just need to set the function equal to zero and solve for x:

$f(x)=(x-1)(x+4)$

$(x-1)(x+4)=0$

$x-1=0,x+4=0$

$x=1,x=-4$

Now we know that the graph or our function intersects the x-axis at x = 1 and x = -4.

Since both x values inside the parenthesis are positive, our parabola is opening upwards.

The only graph opening upwards whose x-intercepts are x = 1 and x = -4 is the fourth one.

We can conclude that the graph of $f(x)=(x-1)(x+4)$ is the fourth one.

5 0

3 years ago

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Why does brainley give free answers? How do they benefit from it?

Agata [3.3K]

Answer:

by getting more attention on the app and there numbers get higher

Step-by-step explanation:

4 0

3 years ago

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Two companies Company A and Company B offer the same starting salary of $20,000 per year. Company A gives a raise of $1000 each

Bingel [31]

A.) A = 20000 + 1000n
B = 20000(1.04)^n

b.) For A, sn = n/2(2a + (n - 1)d)
s20 = 20/2(2(20000) + 1000(20 - 1)) = 10(40000 + 19(1000)) = 10(40000 + 19000) = 10(59000) = $590,000
For B, sn = a(r^n - 1)/(r - 1)
s20 = 20000((1.04)^20 - 1)/(1.04 - 1) = 20000(2.191 - 1)/0.04 = 20000(1.191)/0.04 = 23822.46 / 0.04 = $595,561.57

c.) Using a graphing calculator, it takes 18 years for the
<span>total amount earned a company B is greater that the total amount of earned at company A.</span>

5 0

4 years ago