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Vedmedyk [2.9K]
3 years ago
12

F(x)=2x-1 g(x)=2x+4 Find (f+g)(x)

Mathematics
1 answer:
givi [52]3 years ago
3 0

Answer:

(f+g)(x)=4x+3

Step-by-step explanation:

Given the functions f and g defined above, their sum f+g is defined by (f+g)(x)=f(x)+g(x). Using algebra, we thus have (f+g)(x)=2x-1+2x+4=4x+3.

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If DE= 4x–1, EF= 9, and DF= 9x–22 , find the value of x
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Answer:

The correct answer is x = 6.

Step-by-step explanation:

To solve this problem, we first must recognize that DE + EF = DF.

From this information, we can set up the following equation when we substitute in the given values:

DE + EF = DF

(4x-1) + 9 = 9x - 22

Our first step is going to be to combine like terms on the left side of the equation.  This is modeled below:

4x - 1 + 9 = 9x - 22

4x + 8 = 9x - 22

Then, we should subtract 4x from both sides of the equation.

8 = 5x - 22

Now, we can add 22 to both sides of the equation.

30 = 5x

Finally, we can divide both sides by 5.

x = 6

Therefore, the correct answer is x = 6.

Hope this helps!

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Answer:

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Step-by-step explanation:

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