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Serga [27]
2 years ago
6

For which pairs of functions is (f * g) (x)?

Mathematics
1 answer:
Ronch [10]2 years ago
7 0

Answer:

The pairs of functions that best represent the equation are f(x)=x² and g(x)=1/x

Step-by-step explanation:

For this problem, you will have to multiply each equation in the answer choices until you find the pair that has a product of x.

Let's start with the first answer choice.

(f * g)(x)

<em>f(x)=x²</em>

<em>g(x)=1/x</em>

Now, we multiply these terms together.

x² * 1/x = x²/x

Now, divide x from x². When you are dividing exponents, the exponential numbers subtract. So, since there is no exponent on x, then we assume this exponent to be 1. So, when dividing you will subtract 1 from 2.

x²/x = x

So, the answer to the problem is answer choice A. These functions multiply together to get you a final product of x.

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PLEASE HELP!!!!!PLEASE.
alisha [4.7K]
Can you put spaces to make these easier to read? Plus, none of these have a horizontal asymphote of y = -3. At least if I’m understanding what you put correctly, A does have a vertical asymphote of x = -3 however.
6 0
3 years ago
Which function represents g(x), a reflection of f(x) = (3)x across the y-axis?
Artyom0805 [142]

Answer: g(x)=(3)^{-x}

Step-by-step explanation:

We know that if a figure is reflected across y axis then its y coordinate remains same but the x coordinate changes its polarity.

i.e. the function f(x) will become f(-x) .

Now, the given function :f(x)=(3)^x

Then , after reflection across y axis the new function will become:

g(x)=f(-x)=(3)^{-x}

7 0
3 years ago
Write the equation of the graph shown below in factored form. a graph that starts at the top left and continues down through the
Brut [27]

Answer:

  (d)  f(x) = (x − 3)^2(x − 2)(x − 1)

Step-by-step explanation:

In this context, a crossing of the axis at x=p means there is a factor of (x-p). A "touch" of the axis at x=q means there is a factor of (x -q)^2.

A crossing at x=1 and x=2, and a touch at x=3 means the factors are ...

  f(x) = (x -1)(x -2)(x -3)^2 . . . . . matches the last choice

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2 years ago
Harry's motorboat can make an average of 8 miles per hour. one day he sets out for a trip, only to have the motor break down. ha
melisa1 [442]
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5 0
3 years ago
Six boys are comparing their heights. Andy is taller than Dan but shorter than Ethan. Bill is taller than Ethan and Frank. Frank
Alexxx [7]

List of boys from tallest to shortest is: Bill, Frank, Ethan, Andy, Dan, Cory

<h3><u>Solution:</u></h3>

Given that Six boys are comparing their heights

The six boys are Andy, Dan, Ethan, Bill, Frank, Cory

To find: List the boys from tallest to shortest

<u><em>Andy is taller than Dan but shorter than Ethan</em></u>

So the arrangement goes like this:

Ethan

Andy

Dan

<u><em>Bill is taller than Ethan and Frank:</em></u>

So Bill is taller than ethan. Thus the arrangement from tall to short is made as:

Bill

Ethan

Andy

Dan

Also bill is taller than frank. So frank can be placed anywhere below bill

But given that Frank is taller than Ethan. So frank can be placed above ethan

Now the arrangement goes like this:

Bill

Frank

Ethan

Andy

Dan

<em><u>Cory is shorter than Dan.</u></em>

So cory can be placed below Dan.

<em><u>Thus final arrangement from tallest to shortest boys are:</u></em>

Bill

Frank

Ethan

Andy

Dan

Cory

5 0
3 years ago
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