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mina [271]
3 years ago
7

For f(x) = 2x + 1 and g(x) = x^2- 7, find (f - g)(x). ?

Mathematics
2 answers:
Irina18 [472]3 years ago
4 0

Answer:

(f-g)(x)=-x^(2)+2x+8

the solutions are:

<em><u>x=4 or x=-2</u></em>

Step-by-step explanation:

(f-g)(x)=2x+1-(x^(2)-7)

(f-g)(x)=-x^(2)+2x+1+7

(f-g)(x)=-x^(2)+2x+8

does this help or should I solve for the zeros/solutions of this quadratic equation?

then:

-x^(2)+2x+8=0

-(x^(2)-2x-8)=0

x^(2)-2x-8=0

(x-4)(x+2)=0

<em><u>x=4 or x=-2</u></em>

emmasim [6.3K]3 years ago
4 0

Answer:

The required answer is: -x^2+2x+8

Step-by-step explanation:

We have been given the two function:

f(x)=2x+1

And g(x)=x^2-7

We have to find (f-g)(x):

(f-g)(x)=f(x)-g(x)

(2x+1)-(x^2-7)

2x+1-x^2+7

-x^2+2x+8

Hence, the required answer is: -x^2+2x+8

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lakkis [162]
We can factor out the 4 to get
4(2a^3b^8+ab-4ab^8)
we can also factor out the ab
4ab(2a^2b^7+1-4b^7)
that is factored completely
6 0
3 years ago
What is the average of 1/2 and 1/3
nadya68 [22]

Hi there!

In order to fin the average, you need to add all the terms together and then divide the result by the number of terms :

(\frac{1}{2} + \frac{1}{3}) ÷ 2 = average


Now, I’m assuming that you know that in order to add fractions, both fractions must have the same denominator (bottom number in a fraction). Since these fractions do not have the same denominator, we must give them one.


To find the lowest common denominator (which will help us solve this problem), we must find out what 2 & 3 go into. Well, both numbers go into 6!


So, if the denominator is now 6, you must multiply the numerator (numbers about the “/” line in this case are both 1) by how much you multiplied its denominator by.


For 1/2, you multiplied 2 by 3 to get 6. Therefore, you must multiply the 1 by 3 aswell.


for 1/3, you multiplied 3 by 2 to get 6. Therefore, you must multiply the 1 by 2.


and now you have 3/6+2/6 since the denominators are the same, you can add the numerators normally which gives you 5/6


\frac{5}{6} ÷ 2 = \frac{5}{12}


Your answer is : \frac{5}{12}


There you go! I really hope this helped, if there's anything just let me know! :)

3 0
3 years ago
The graph below represents which system <br> of inequalities?
EastWind [94]
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8 0
3 years ago
What is 12X-4y = -8 written in slope-intercept form?
qwelly [4]

Answer:

y = 3x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

12x - 4y = - 8 ( subtract 12x from both sides )

- 4y = - 12x - 8 ( divide all terms by - 4 )

y = 3x + 2 ← in slope- intercept form

3 0
3 years ago
2-1<br> 3+2-<br> 9<br> 1<br> * 3|<br> 44<br> (+1)(0)<br> (98 9(<br> 2)
Katena32 [7]

Answer:64

Step-by-step explanation:

8 0
4 years ago
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