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xeze [42]
4 years ago
5

Given the following functions:

Mathematics
1 answer:
AysviL [449]4 years ago
7 0

Answer:

The composition of the two functions are (fog)(x)=f(g(x))=x^2-6x+9 and (gof)(x)=g(f(x))

Step-by-step explanation:

Given two functions are

f(x)=^2

and g(x)=x-3

Now to find the composition of f and composition of g and f

ie, (fog)(x)=f(g(x))

and (gof)(x)=g(f(x))

(fog)(x)=f(g(x))

           =f(x-3)

           =(x-3^2)

         Now to find the composition of f and composition of  =x^2-2x(3)+3^2

(fog)(x)=x^2-6x\div 9

(gof)(x)=g(f(x))

=g(x^2)

(gof)(x)=x^2-3

The composition of the two functions are (gof)(x)=g(f(x))=x^2-3

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Alekssandra [29.7K]
Answer:
100•(0.7)3•(1-0.7)5-3
100•0.7•3•0.3•5-3
315-3
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7 0
3 years ago
Why does it help to rearrange
hichkok12 [17]

Answer:

You don't really need to do it, but it helps you keep things more organized and easier to follow. Imagine if you're doing some multi-variable equation,

2a + 5b + 4d + 3c + b + a + 2d

that looks like a mess, it'll be easier to look at if you put all the similar variables next to each others like this:

a + 2a + b + 5b + 3c + 2d + 4d

(a + 2a) + (b + 5b) + 3c + (2d + 4d)

now you can add them up much easier.

8 0
3 years ago
A baby elephant weighs 1,400 pounds, which is 7,437 pounds less than her mother. Write an equation to express the weight of the
erica [24]
Let's say that y is the weight of the mother and x is the weight of the baby.
We know that the baby is 7437 pounds less than the mother, which means you need to add 7437 pounds to the baby's weight to get the mother's.
We can show it like this:
x+7437=y.
We know what the baby's weight is (1400 lbs), so just sub it in:
1400+7437=y
y=8837 lbs
The mom weighs 8837 pounds.
4 0
4 years ago
Find the center and the radius of this equation by completing the
Colt1911 [192]

Answer:

x^2 +4x +(4/2)^2 +y^2 -20 y +(20/2)^2 +100 = (4/2)^2 +(20/2)^2

And solving we got:

x^2 +4x+ 4 +y^2 +20y +100 +100 = 4 +100

If we subtract 100 from both sides we got:

(x+2)^2 +(y+10)^2 = 4

C= (-2,-10)

r = \sqrt{4}=2

Step-by-step explanation:

For this case we have the following equation given:

x^2 +4x +y^2 -20 y +100=0

We want to find a general expression given by:

(x-h)^2 +(y-k)^2 = r^2

Where the center is (h.k) and the radius is r.

We can begin completing the squares of the equation given and we got:

x^2 +4x +(4/2)^2 +y^2 -20 y +(20/2)^2 +100 = (4/2)^2 +(20/2)^2

And solving we got:

x^2 +4x+ 4 +y^2 +20y +100 +100 = 4 +100

If we subtract 100 from both sides we got:

(x+2)^2 +(y+10)^2 = 4

Then we can conclude that the center is:

C= (-2,-10)

And the radius would be:

r = \sqrt{4}=2

6 0
3 years ago
last month, dory biked 11 times as many miles as karly. together they biked a total of 156 miles. how many miles did dory bike l
Anni [7]
\
Hi there

Let x be the number of miles Karly biked
Dory biked 11 times as many miles as Karly, therefor, Dory = 11x
The total number of miles back by both is 156
The equation will be:
11x + x = 156
Before we can get the number of miles Dory biked, we must first get the number of miles
Karly biked represented by x.
Get the x
12x = 156
12x/12 = 156/12
<span>x = 13 </span>
Karly = x = 13 miles biked
Dory = 11x = 11(13) = 143 miles biked
to check:
11x + x = 156
11(13) + 13 = 156
143 + 13 = 156
<span>156 = 156
  i hope it helps have a nice day:)

</span>
4 0
4 years ago
Read 2 more answers
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