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3 years ago

Find the following f(g(x)) when f(x)=2x+4 and g(x)=2x

Mathematics

2 answers:

klasskru [66]3 years ago

7 0

Answer:

4 + 4x = f(g(x))

Step-by-step explanation:

According to the compositional function, we plug the g(x) function into the f(x) function in replacement for every x we see:

$2(2x) + 4 = 4x + 4 \\f(g(x)) = 4x + 4$

The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

KonstantinChe [14]3 years ago

6 0

Answer:

f(2x)= 2(2x)+4= 4x + 4 is the solution

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In the diagram, GB = 2x + 3..

zaharov [31]

Answer-

$\boxed{\boxed{GB=15\ units}}$

Solution-

From the attachment,

AD = AE, so FA is a median.

BD = BF, so BE is a median.

CF = CE, so DC is a median.

And G is the centroid.

From the properties of centroid, we know that

The centroid divides each median in a ratio of 2:1

So,

$\Rightarrow FG:AG=2:1$

$\Rightarrow \dfrac{FG}{AG}=\dfrac{2}{1}$

$\Rightarrow FG=2\times AG$

$\Rightarrow 5x=2\times (x+9)$

$\Rightarrow 5x=2x+18$

$\Rightarrow 3x=18$

$\Rightarrow x=6$

So, GB will be $2(6)+3=15$ units

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3 years ago

Read 2 more answers

The Better Baby Buggy Co. has just come out with a new model, the Turbo. The market research department predicts that the demand

dlinn [17]

Answer:

$68

Step-by-step explanation:

We have been given the demand equation for Turbos as $q=-4p+544$ , where q is the number of buggies the company can sell in a month if the price is $p per buggy.

Let us find revenue function by multiplying price of p units by demand function as:

Revenue function: $pq=p(-4p+544)$

$pq=-4p^2+544p$

Since revenue function is a downward opening parabola, so its maximum point will be vertex.

Let us find x-coordinate of vertex using formula $\frac{-b}{2a}$ .

$\frac{-b}{2a}=\frac{-544}{2\times -4}$

$\frac{-b}{2a}=\frac{-544}{-8}$

$\frac{-b}{2a}=68$

The maximum revenue would be the y-coordinate of vertex.

Let us substitute $x=68$ in revenue formula.

$pq=-4(68)^2+544(68)$

$pq=-4*4624+544(68)$

$pq=-18496+36992$

$pq=18496$

Therefore, the company should sell each buggy for $68 to get the maximum revenue of $18,496.

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mrs_skeptik [129]

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How many total possible outcomes are there on a standard 6 sided die?

Alenkasestr [34]

Answer:

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3 years ago

Find the equation of the line. Use exact numbers.

postnew [5]

Answer:

y=1/2x-3

is the slope intercept form

Step-by-step explanation:

Hope this helps :) Have a great day!!!

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3 years ago