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Margaret [11]
3 years ago
9

How to simplify this expression

Mathematics
1 answer:
jekas [21]3 years ago
3 0
I think you have to find the value of x and y before u can simplify it.
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Find f(x) and g(x) so that the function can be described as y = f(g(x)).<br><br> y = 4/x^2+9
dlinn [17]

I'm assuming all of (x^2+9) is in the denominator. If that assumption is correct, then,

One possible answer is f(x) = \frac{4}{x},  \ \ g(x) = x^2+9

Another possible answer is f(x) = \frac{4}{x+9}, \ \ g(x) = x^2

There are many ways to do this. The idea is that when we have f( g(x) ), we basically replace every x in f(x) with g(x)

So in the first example above, we would have

f(x) = \frac{4}{x}\\\\f( g(x) ) = \frac{4}{g(x)}\\\\f( g(x) ) = \frac{4}{x^2+9}

In that third step, g(x) was replaced with x^2+9 since g(x) = x^2+9.

Similar steps will happen with the second example as well (when g(x) = x^2)

4 0
3 years ago
Jasper has an annual salary of $71000 and his company pays him twice a month. What is the gross income per paycheck that Jasper
Sliva [168]

Answer:

$2,958.33

Step-by-step explanation:

Jasper's annual salary is $71000.

Considering that a year has 12 months and that he gets a paycheck twice each month, the total number of paychecks (P) Jasper gets each year is:

P = 12*2 = 24

To define Jasper's gross income per paycheck (I), simply divide his annual salary by the number of paychecks in a year:

I=\frac{\$ 71,000}{24} \\I=\$ 2,958.33

Jasper's gross income per paycheck is $2,958.33.

3 0
2 years ago
Simplify 7 square root of 3 end root minus 4 square root of 6 end root plus square root of 48 end root minus square root of 54
Katen [24]
7\sqrt3-4\sqrt6+\sqrt{48}-\sqrt{54}\\\\=7\sqrt3-4\sqrt6+\sqrt{16\cdot3}-\sqrt{9\cdot6}\\\\=7\sqrt3-4\sqrt6+\sqrt{16}\cdot\sqrt3-\sqrt9\cdot\sqrt6\\\\=7\sqrt3-4\sqrt6+4\sqrt3-3\sqrt6\\\\=\boxed{11\sqrt3-7\sqrt6}
3 0
3 years ago
What does -8x + y = 16 solve
frez [133]

Answer:

you divide -8y by both sides and you would so that means that y=-2.

Step-by-step explanation:

7 0
3 years ago
3 - x3 &gt; -4 help pls
Kamila [148]

Answer:

x<1.912931

Step-by-step explanation:

6 0
3 years ago
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