Question

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

Answer 1

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.

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Answer 2

11x-4

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