Question

Two functions are given below. f(x) = - 2x ^ 2 + 4x + 1; g(x) = 5x - 3 What is the value of - 4f * (x) - g(x) ?

Answer 1

`8x^2-21x-1`

Explanation:

We have the following functions:

`\begin{gathered} f(x)=-2x^2+4x+1 \\ g\mleft(x\mright)=5x-3 \end{gathered}`

We replace the operation between functions, and we would have:

`\begin{gathered} -4f(x)-g(x) \\ -4\cdot(-2x^2+4x+1)-(5x-3) \\ 8x^2-16x-4-5x+3 \\ 8x^2-21x-1 \end{gathered}`