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NeX [460]
3 years ago
10

Let f(x)=-3x and g(x) = 2x-1 Find the following: 4g(x) - f(x)

Mathematics
2 answers:
mr Goodwill [35]3 years ago
6 0

Answer:

11x-4

Step-by-step explanation:

f(x)=-3x

g(x) = 2x-1

4g(x) - f(x)

4(2x-1) - ( -3x)

Distribute

8x -4 +3x

Combine like terms

11x-4

nadya68 [22]3 years ago
5 0

Here, we are provided with two polynomials f(x) and g(x),and we need to find 4g(x) - f(x).

Given,

  • f(x) = -3x
  • g(x) = 2x - 1

Now,we need to find 4g(x) - f(x). We will simply substitute the given value of polynomials to get the answer.

4g(x) - f(x)

4(2x - 1) - ( - 3x)

Opening the parentheses,

8x - 4 + 3x

Now combing the like terms, and adding them,

8x + 3x - 4

\boxed{11x - 4}

This is our final result.

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

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<h3>How to solve an equation?</h3>

To solve linear equations, utilize the steps that are provided below.

  1. Remove parentheses from each side of the equation and combine similar terms to make it simpler.
  2. To separate the variable term on one side of the equation, use addition or subtraction.
  3. To find the variable, use division or multiplication.
  4. The common denominator can be multiplied by each side of the equation to eliminate fractions.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

Learn more about  linear equations

brainly.com/question/14323743

#SPJ4

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