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Yanka [14]
3 years ago
6

If f(x)=3x^2+1 and g(x)=1-x, what is the value of (f-g)(2)?

Mathematics
2 answers:
madam [21]3 years ago
3 0
The answer is 14 you just have to substitute x with the given number and finish the equation
never [62]3 years ago
3 0

Answer:

(f – g)(2) =  12.

Step-by-step explanation:

Given  :  f(x) = 3x²+1 and g(x) =1-x .

To find : which expression is equivalent to (f – g)(2).

Solution : We have given   f(x) = 3x²+1  and g(x) = 1-x .

(f – g)(2) = f (2 ) - g(2) .

g(x) =  1-x .

Plug x = 2 .

g(2) = 1 - 2 .

g(2) =  - 1.

For    f(x) =3x²+1

Plug x = 2

f( 2) =3 (2)²+1.

f(2) = 12 + 1.

f(2) =  13 .

Then , (f – g)(2) = f (2 ) - g(2) .

Plugging the values

(f – g)(2) = -1 +  13

(f – g)(2) = 12

(f – g)(2) =  12.

Therefore,  (f – g)(2) =  12.

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Using prime notation, the new coordinates after translation are;

<em>New coordinates;</em>

A': (-1, 1)

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D': (3, 2)

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A(-6, 5)

B(-6, 2)

C(-2, 2)

D(-2, 6)

  • Translating the polygon down by x units means the value of the y-coordinates will reduce by 4.
  • In a similar fashion, translation 5 units to the right means that the x-coordinates would increase by 5.

  • Applying these translation numbers to our coordinates, we will now have;

        A(-6 + 5, 5 - 4)

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        C(-2 + 5, 2 - 4)

        D(-2 + 5, 6 - 4)

Simplifying each of them gives us the new coordinates as;

A: (-1, 1)

B: (-1, -2)  

C: (3, -2)

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Read more at; brainly.com/question/4726090

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Write 64 as a power two different ways
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M is between L and C. LM=11, MC=2x+5, and LC=6x-6. What is MC?
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3 years ago
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